Article
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On Induced Topologies by Ideal, Primal, Filter and Grill
Version 1
: Received: 6 March 2024 / Approved: 6 March 2024 / Online: 7 March 2024 (08:09:59 CET)
How to cite: Matejdes, M. On Induced Topologies by Ideal, Primal, Filter and Grill. Preprints 2024, 2024030390. https://doi.org/10.20944/preprints202403.0390.v1 Matejdes, M. On Induced Topologies by Ideal, Primal, Filter and Grill. Preprints 2024, 2024030390. https://doi.org/10.20944/preprints202403.0390.v1
Abstract
In this paper the one-to-one correspondences and equivalences between ideals, primals, filters and grills are introduced. It is shown the local functions and the topological spaces induced by them are the same. From this point of view, the topological properties with respect to one topology can be derived from topological properties valid in the corresponding topology.
Keywords
ideal; prima; grill; filter; local function; finer topology; compatibility; codense system
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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