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General comodule-contramodule correspondence
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Jones, John D. S., Hristova, Katerina and Rumynin, Dmitriy (2023) General comodule-contramodule correspondence. São Paulo Journal of Mathematical Sciences . doi:10.1007/s40863-023-00358-8 ISSN 1982-6907. (In Press)
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Official URL: https://doi.org/10.1007/s40863-023-00358-8
Abstract
This paper is a fundamental study of comodules and contramodules over a comonoid in a symmetric closed monoidal category. We study both algebraic and homotopical aspects of them. Algebraically, we enrich the comodule and contramodule categories over the original category, construct enriched functors between them and enriched adjunctions between the functors. Homotopically, for simplicial sets and topological spaces, we investigate the categories of comodules and contramodules and the relations between them.
Item Type: | Journal Article | ||||||
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Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Categories (Mathematics), Homotopy theory, Comodules | ||||||
Journal or Publication Title: | São Paulo Journal of Mathematical Sciences | ||||||
Publisher: | Springer | ||||||
ISSN: | 1982-6907 | ||||||
Official Date: | 24 April 2023 | ||||||
Dates: |
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DOI: | 10.1007/s40863-023-00358-8 | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | In Press | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 21 March 2023 | ||||||
Related URLs: | |||||||
Open Access Version: |
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