Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Categorical Join and Generating Families in Diffeological Spaces

Version 1 : Received: 12 September 2023 / Approved: 13 September 2023 / Online: 14 September 2023 (08:36:11 CEST)

A peer-reviewed article of this Preprint also exists.

Macías, E.; Mehrabi, R. Categorical Join and Generating Families in Diffeological Spaces. Mathematics 2023, 11, 4503. Macías, E.; Mehrabi, R. Categorical Join and Generating Families in Diffeological Spaces. Mathematics 2023, 11, 4503.

Abstract

We prove that a diffeological space is diffeomorphic to the categorical join of any generating family of plots.

Keywords

Diffeological space; Generating family; Categorical join

Subject

Computer Science and Mathematics, Geometry and Topology

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