About: A Functorial Approach to Differential Calculus

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type	Academic Article research paper schema:ScholarlyArticle
isDefinedBy	Covid-on-the-Web dataset
title	A Functorial Approach to Differential Calculus
Creator	Bertram, Wolfgang Haut, Jérémy
source	ArXiv
abstract	We show that differential calculus (in its usual form, or in the general form of topological differential calculus) can be fully imdedded into a functor category (functors from a small category of anchord tangent algebras to anchored sets). To prepare this approach, we define a new, symmetric, presentation of differential calculus, whose main feature is the central r{/^o}le played by the anchor map, which we study in detail. Our aim for developing this theory is twofold: (1) define a setting for calculus over any commutative ring, including finite rings; (2) define a setting that can be generalized to categories of graded rings (super differential calculus).
has issue date	2020-06-08(xsd:dateTime)
has license	arxiv
sha1sum (hex)	c8d05002488125f3f9a466dbf6fb1c539d4ee722
resource representing a document's title	A Functorial Approach to Differential Calculus
resource representing a document's body	covid:c8d05002488125f3f9a466dbf6fb1c539d4ee722#body_text
is schema:about of	named entity 'map' named entity 'PRESENTATION' named entity 'MAIN' named entity 'CENTRAL' named entity 'NEW' »more»

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