Categorical Nonstandard Analysis

In the present paper, we propose a new axiomatic approach to nonstandard analysis and its application to the general theory of spatial structures in terms of category theory. Our framework is based on the idea of internal set theory, while we make use of an endofunctor <inline-formula><math...

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Bibliographic Details
Main Authors: Hayato Saigo, Juzo Nohmi
Format: Article
Language:English
Published: MDPI AG 2021-08-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/13/9/1573