Aronszajn and Sikorski subcartesian differential spaces
Richard Cushman, Jedrzej Snaitycki

TL;DR
This paper establishes a formal relationship between Aronszajn subcartesian spaces and Sikorski differential spaces by constructing a natural transformation, enhancing the understanding of their categorical connections.
Contribution
It introduces a natural transformation linking Aronszajn subcartesian spaces to subcartesian differential spaces within Sikorski's framework, clarifying their categorical relationship.
Findings
Established a natural transformation between the categories
Clarified the relationship within Sikorski differential spaces
Enhanced the categorical understanding of subcartesian spaces
Abstract
We construct a natural transformation between the category of Aronszajn subcartesian spaces and the category of subcartesian differential spaces, which is a subcategory of Sikorski differential spaces.
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