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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
130/2006

Differential Calculus in Categories. I

Dimitry A. Leites and Vladimir Molotkov

Abstract

We study a generalization of the following question: How to interprete the first difference (of a "function") arizing in the Classical Calculus in a more general situation when objects of a category are not determined by their points?

Received:
Nov 12, 2006
Published:
Nov 12, 2006
MSC Codes:
18F99, 58A05
Keywords:
differential calculus, category theory

Related publications

Preprint
2006 Repository Open Access
D. A. Leites and Vladimir Molotkov

Differential calculus in categories. I