Geometry & Topology
ARTICLE

doi:10.20944/preprints202209.0089.v3
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular basic convex polytopes; negative dimensions; fractal dimensions; complex dimensions; circumscribed and inscribed polytopes
Online: 19 September 2022 (10:21:05 CEST)
Wed, 14 September 2022
ARTICLE

doi:10.20944/preprints202209.0089.v2
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular basic convex polytopes; negative dimensions; fractal dimensions; complex dimensions; circumscribed and inscribed polytopes
Online: 14 September 2022 (08:37:54 CEST)
Tue, 6 September 2022
ARTICLE

doi:10.20944/preprints202209.0089.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular basic convex polytopes; negative dimensions; fractal dimensions; complex dimensions; circumscribed and inscribed polytopes
Online: 6 September 2022 (10:13:02 CEST)
Mon, 22 August 2022
ARTICLE

doi:10.20944/preprints202208.0386.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
functor of permutation degree; tightness; set tightness; $T$tightness; functional tightness; minitightness
Online: 22 August 2022 (15:43:42 CEST)
Thu, 30 June 2022
ARTICLE

doi:10.20944/preprints202206.0423.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
solid geometry; helix; Chasles’ theorem; platonic helix; tetrahelix; linear algebrea; computer graphics
Online: 30 June 2022 (08:56:22 CEST)
Mon, 27 June 2022
ARTICLE

doi:10.20944/preprints202204.0263.v13
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular convex polytopes; negative dimensions; fractal dimensions
Online: 27 June 2022 (11:17:06 CEST)
Mon, 20 June 2022
ARTICLE

doi:10.20944/preprints202204.0263.v12
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular convex polytopes; negative dimensions; fractal dimensions
Online: 20 June 2022 (09:40:53 CEST)
Thu, 16 June 2022
ARTICLE

doi:10.20944/preprints202204.0263.v11
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular convex polytopes; negative dimensions; fractal dimensions
Online: 16 June 2022 (10:39:40 CEST)
Fri, 10 June 2022
ARTICLE

doi:10.20944/preprints202204.0263.v10
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular convex polytopes; negative dimensions; fractal dimensions
Online: 10 June 2022 (16:13:45 CEST)
Wed, 8 June 2022
ARTICLE

doi:10.20944/preprints202204.0263.v9
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular convex polytopes; negative dimensions; fractal dimensions
Online: 8 June 2022 (12:29:03 CEST)
Wed, 1 June 2022
ARTICLE

doi:10.20944/preprints202204.0263.v8
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular convex polytopes; negative dimensions; fractal dimensions
Online: 1 June 2022 (09:43:58 CEST)
Mon, 30 May 2022
ARTICLE

doi:10.20944/preprints202204.0263.v7
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular convex polytopes; negative dimensions; fractal dimensions
Online: 30 May 2022 (11:28:08 CEST)
Thu, 26 May 2022
ARTICLE

doi:10.20944/preprints202204.0263.v6
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular convex polytopes; negative dimensions; fractal dimensions
Online: 26 May 2022 (08:54:38 CEST)
Wed, 25 May 2022
ARTICLE

doi:10.20944/preprints202204.0263.v5
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular convex polytopes; negative dimensions; fractal dimensions
Online: 25 May 2022 (09:54:32 CEST)
Fri, 20 May 2022
ARTICLE

doi:10.20944/preprints202204.0263.v4
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular convex polytopes; negative dimensional spectra; fractal dimensions
Online: 20 May 2022 (09:09:43 CEST)
Mon, 9 May 2022
ARTICLE

doi:10.20944/preprints202204.0263.v3
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular convex polytopes; negative dimensional spectra; fractal dimensions
Online: 9 May 2022 (09:39:25 CEST)
Thu, 5 May 2022
ARTICLE

doi:10.20944/preprints202204.0263.v2
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular convex polytopes; negative dimensional spectra
Online: 5 May 2022 (10:21:33 CEST)
ARTICLE

doi:10.20944/preprints202203.0318.v2
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Airspace Axiom; Simple Airspace Polygon; Free Route Airspace; Earthcentered Earthfixed
Online: 5 May 2022 (03:25:54 CEST)
Wed, 27 April 2022
ARTICLE

doi:10.20944/preprints202204.0263.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
regular; convex polytopes; negative dimensional spectra
Online: 27 April 2022 (14:19:49 CEST)
Wed, 13 April 2022
ARTICLE

doi:10.20944/preprints202204.0126.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
$SL_2(\mathbb{C})$ character varieties; algebraic surfaces; magic state quantum computing; topological quantum computing; aperiodicity
Online: 13 April 2022 (10:37:41 CEST)
Thu, 24 March 2022
ARTICLE

doi:10.20944/preprints202203.0318.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Earthcentered Earthfixed; Free Route Airspace; Significant Points; Simple Airspace Polygon; Airspace Axiom
Online: 24 March 2022 (02:17:23 CET)
Tue, 9 November 2021
ARTICLE

doi:10.20944/preprints202111.0179.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
GeoSPARQL; GeoSPARQL 1.1; spatial; geospatial; Semantic Web; RDF; OWL; OGC; Open Geospatial Consortium; standard; ontology.
Online: 9 November 2021 (14:05:34 CET)
Tue, 26 October 2021
ARTICLE

doi:10.20944/preprints202110.0389.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
topological monoid; numeral system
Online: 26 October 2021 (14:15:22 CEST)
Fri, 15 October 2021
ARTICLE

doi:10.20944/preprints202110.0225.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Function Representation; implicit functions; geometry and topology; 3D bioprinting; tissue spheroids; modeling and simulation; diffusionconcentration calculations; cellular necrosis; additive technologies
Online: 15 October 2021 (12:26:09 CEST)
Mon, 6 September 2021
SHORT NOTE

doi:10.20944/preprints202109.0082.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Combinatorics; Ramsey’s theory; Borsuk–Ulam theorem; black hole; singularity
Online: 6 September 2021 (10:09:59 CEST)
Thu, 25 March 2021
ARTICLE
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
BLift; , Natural Lift; Slant helix; Darboux helix
Online: 25 March 2021 (17:22:06 CET)
Mon, 30 November 2020
ARTICLE

doi:10.20944/preprints202011.0747.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Generalized topological space, generalized sets, generalized derived operator, generalized coderived operator, iterations, ranks
Online: 30 November 2020 (20:21:55 CET)
Wed, 15 July 2020
ARTICLE
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
quasipseudometric space; Cauchy sequence; Cauchy net; Cauchy filter; completeness
Online: 15 July 2020 (08:49:38 CEST)
Thu, 28 May 2020
ARTICLE

doi:10.20944/preprints201906.0109.v2
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Riemannian manifold; Einstein manifold; sectional curvatures; Ricci curvature; Lie group
Online: 28 May 2020 (02:58:44 CEST)
Mon, 23 March 2020
ARTICLE

doi:10.20944/preprints202003.0342.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
generalized topological space; generalized sets; generalized exterior operator; generalized frontier operator; consistent; independent axioms
Online: 23 March 2020 (07:14:43 CET)
Wed, 18 March 2020
ARTICLE
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Topological quantum computing; $4$manifolds; Akbulut cork; exotic $R^4$; fundamental group; finite geometry; CayleyDickson algebras
Online: 18 March 2020 (16:45:55 CET)
Wed, 4 March 2020
ARTICLE

doi:10.20944/preprints202003.0068.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Tournaments; SemiSimplicial Sets; Neural networks; Persistent homology
Online: 4 March 2020 (11:40:12 CET)
Tue, 11 February 2020
ARTICLE

doi:10.20944/preprints202002.0140.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Clifford algebra; geometric algebra; gamma matrix; multiinner product; connection operator; Keller connection; Spin group; cross ratio
Online: 11 February 2020 (09:31:38 CET)
Sun, 9 February 2020
CONCEPT PAPER

doi:10.20944/preprints202002.0107.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
donutlike; infinity; paths; physical geometry; networks, Alexander horned sphere
Online: 9 February 2020 (15:55:03 CET)
Thu, 23 January 2020
ARTICLE

doi:10.20944/preprints202001.0267.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Almost hypercomplex structure; Hermitian metric; Norden metric; Lie group; Lie algebra
Online: 23 January 2020 (14:50:08 CET)
Fri, 27 December 2019
ARTICLE

doi:10.20944/preprints201912.0360.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
intervalvalued fuzzy soft set; intervalvalued fuzzy soft topology; intervalvalued fuzzy soft point; intervalvalued fuzzy soft neighborhood; intervalvalued fuzzy soft quasineighbourhood; interva
Online: 27 December 2019 (08:44:19 CET)
Thu, 5 December 2019
ARTICLE

doi:10.20944/preprints201912.0064.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Generalized topological space, generalized sets, generalized interior operator, generalized closure operator, commutativity
Online: 5 December 2019 (08:52:51 CET)
Sun, 27 October 2019
ARTICLE

doi:10.20944/preprints201910.0301.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Econvex sets; preinvex; Econvex functions; geodesic; subpreinvex; Riemannian manifolds; Hadamard manifolds.
Online: 27 October 2019 (10:41:01 CET)
Fri, 28 June 2019
ARTICLE

doi:10.20944/preprints201906.0294.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
is*open set, is*continuous, is*open, is*irresolute, is*totally continuous, iscontracontinuous mappings, is*separation
Online: 28 June 2019 (11:45:03 CEST)
Mon, 24 June 2019
ARTICLE
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
space with affine connection; Riemannian space; Riccimsymmetric space; conformal mapping; geodesic mapping
Online: 24 June 2019 (08:51:49 CEST)
ARTICLE

doi:10.20944/preprints201906.0232.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Hermitian manifold; locally conformal Kähler manifold; Lee form; diffeomorphism; conformal transformation; Lie derivative
Online: 24 June 2019 (08:45:40 CEST)
Thu, 13 June 2019
ARTICLE

doi:10.20944/preprints201906.0109.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Riemannian manifold; Einstein manifold; sectional curvatures; Ricci curvature; Lie group
Online: 13 June 2019 (05:36:28 CEST)
Thu, 30 May 2019
ARTICLE
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
soft set; soft sets theory; soft topology; embedding lemma; soft mapping; soft topological product; soft slab; soft continuous mapping; soft diagonal mapping
Online: 30 May 2019 (10:04:04 CEST)
Fri, 24 May 2019
ARTICLE
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
causality; chronology; chorology; Minkowski space; time cone; space cone; weak interval topology; duality
Online: 24 May 2019 (08:22:25 CEST)
Sun, 5 May 2019
ARTICLE

doi:10.20944/preprints201905.0024.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
3D city model; topology; combinatorial map; linear cell complex; CityJSON; CityGML
Online: 5 May 2019 (12:56:21 CEST)
Wed, 20 March 2019
ARTICLE

doi:10.20944/preprints201903.0199.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Generalized topological space, generalized compact ness, generalized countable compactness, generalized sequential compactness, generalized local connectedness
Online: 20 March 2019 (15:38:12 CET)
Fri, 1 March 2019
ARTICLE

doi:10.20944/preprints201903.0010.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Toeplitz quantization, decreasing rearrangement, majorization, spectral measure, measure preserving transformation, Hermitian matrices
Online: 1 March 2019 (12:25:47 CET)
Thu, 21 February 2019
ARTICLE

doi:10.20944/preprints201902.0200.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Analytic functions; univalent function; differential operator; differential subordination; convex functions; structural formula
Online: 21 February 2019 (10:00:58 CET)
Tue, 12 February 2019
ARTICLE

doi:10.20944/preprints201902.0097.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
sliced spaces; global hyperbolicity; product topology; Alexandrov topology
Online: 12 February 2019 (09:48:42 CET)
Tue, 15 January 2019
ARTICLE

doi:10.20944/preprints201901.0151.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Poincare disk; inner product; cross ratio; holomorphic function; angle; line element
Online: 15 January 2019 (10:00:40 CET)
Tue, 18 December 2018
ARTICLE

doi:10.20944/preprints201812.0223.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
causality; chronology; chorology; Minkowski space; time cone; space cone; weak interval topology; duality
Online: 18 December 2018 (12:08:33 CET)
Tue, 20 November 2018
ARTICLE

doi:10.20944/preprints201811.0500.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
ruled surface; null scroll; Minkowski space; pointwise 1type Gauss map; generalized $1$type Gauss map; conical surface of $G$type
Online: 20 November 2018 (11:37:03 CET)
Mon, 19 November 2018
ARTICLE

doi:10.20944/preprints201811.0465.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Kahler manifolds, Einstein metrics, Ricci curvature, ﬁbration, almosthomogeneous, cohomogeneity one, semisimple Lie group, Sasakian Einstein, CalabiYau metrics
Online: 19 November 2018 (12:04:09 CET)
Wed, 31 October 2018
ARTICLE

doi:10.20944/preprints201810.0742.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
eneralized topological space, generalized local connectedness, generalized pathwise connectedness, generalized local pathwise connectedness, generalized simple connectedness, generalized components
Online: 31 October 2018 (09:00:17 CET)
Mon, 8 October 2018
ARTICLE

doi:10.20944/preprints201810.0161.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
quantum computation, ICPOVMs, knot theory, threemanifolds, branch coverings, Dehn surgeries.
Online: 8 October 2018 (16:45:17 CEST)
Thu, 4 October 2018
REVIEW

doi:10.20944/preprints201810.0087.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Conflation, feature matching, deconfliction, road network, complexity of spatial conflation.
Online: 4 October 2018 (15:51:44 CEST)
Fri, 21 September 2018
REVIEW

doi:10.20944/preprints201809.0430.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Spin(9); octonions; vector fields on spheres; Hopf fibration; locally conformally parallel; Clifford structure; Clifford system; symmetric spaces
Online: 21 September 2018 (06:07:27 CEST)
Thu, 20 September 2018
ARTICLE

doi:10.20944/preprints201809.0407.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
ruled surface,; pointwise $1$type Gauss map; generalized $1$type Gauss map; conical surface of $G$type
Online: 20 September 2018 (11:01:16 CEST)
Wed, 19 September 2018
ARTICLE

doi:10.20944/preprints201809.0366.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Pisot substitution tilings; pure point spectrum; regular model set; algebraic coincidence
Online: 19 September 2018 (07:44:07 CEST)
Tue, 18 September 2018
ARTICLE

doi:10.20944/preprints201809.0352.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
NambuHamilton equation; NambuPoisson bracket; superspace; FilippovJacobi identity; NambuHamilton mechanics
Online: 18 September 2018 (13:39:13 CEST)
Wed, 15 August 2018
ARTICLE

doi:10.20944/preprints201808.0265.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
writhe; chirality; nomenclature; link symmetries; link table; knot table; lattice polygons; DNA topology
Online: 15 August 2018 (05:18:48 CEST)
Thu, 5 July 2018
ARTICLE

doi:10.20944/preprints201807.0095.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Generalized topological space, generalized sepa ration axioms, generalized sets, generalized operations
Online: 5 July 2018 (11:45:04 CEST)
Thu, 21 June 2018
ARTICLE

doi:10.20944/preprints201806.0338.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
Minkowski space; Dinitype helicoidal hypersurface; Gauss map; spacelike axis
Online: 21 June 2018 (12:10:54 CEST)
Tue, 12 June 2018
ARTICLE

doi:10.20944/preprints201806.0169.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
generalized topological space; generalized sets; generalized maps; generalized continuous maps; generalized irresolute maps; generalized homeomorphism maps
Online: 12 June 2018 (07:32:56 CEST)
Mon, 11 June 2018
ARTICLE

doi:10.20944/preprints201806.0159.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
4space; the third LaplaceBeltrami operator; rotational hypersurface; Gaussian curvature; mean curvature
Online: 11 June 2018 (12:35:51 CEST)
Tue, 5 June 2018
ARTICLE

doi:10.20944/preprints201806.0070.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
generalized topological space; generalized operations; generalized sets
Online: 5 June 2018 (13:34:42 CEST)
Thu, 3 May 2018
ARTICLE

doi:10.20944/preprints201805.0080.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
fuzzy operators; fuzzy separation axioms; fuzzy compactness; fuzzy connectedness
Online: 3 May 2018 (13:13:28 CEST)
Fri, 30 March 2018
ARTICLE

doi:10.20944/preprints201803.0254.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
coarse structure; coarse space; ballean; varieties of coarse spaces
Online: 30 March 2018 (04:49:57 CEST)
Wed, 31 January 2018
ARTICLE

doi:10.20944/preprints201801.0289.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
fullerenes; rightangled polytopes; truncation of edges; connected sum; kbelts; pvector
Online: 31 January 2018 (02:06:27 CET)
Mon, 31 October 2016
ARTICLE

doi:10.20944/preprints201610.0131.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
joint probability density; tensor properties; probability on Riemannian manifold; covariant derivative; contravariant derivative
Online: 31 October 2016 (02:39:45 CET)
Tue, 20 September 2016
ARTICLE

doi:10.20944/preprints201609.0067.v1
Subject:
Mathematics & Computer Science,
Geometry & Topology
Keywords:
finite groups; dessins d’enfants; finite geometries; quantum commutation; quantum contextuality
Online: 20 September 2016 (11:14:10 CEST)