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Main Author: Huebschmann, Johannes
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.15906
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author Huebschmann, Johannes
author_facet Huebschmann, Johannes
contents We discuss variants of Berikashvili's functor that arise in differential homological algebra, from simplicial bundles, from ordinary topological bundles, and in more general categorical settings. We prove that, under suitable circumstances, the value of Berikasvili's functor parametrizes isomorphism classes of bundles in various contexts.
format Preprint
id arxiv_https___arxiv_org_abs_2403_15906
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The breadth of Berikashvili's functor D
Huebschmann, Johannes
Quantum Algebra
Algebraic Topology
16E45, 18G31, 18G35, 18G50, 18N50, 55R10, 55R20, 55U10
We discuss variants of Berikashvili's functor that arise in differential homological algebra, from simplicial bundles, from ordinary topological bundles, and in more general categorical settings. We prove that, under suitable circumstances, the value of Berikasvili's functor parametrizes isomorphism classes of bundles in various contexts.
title The breadth of Berikashvili's functor D
topic Quantum Algebra
Algebraic Topology
16E45, 18G31, 18G35, 18G50, 18N50, 55R10, 55R20, 55U10
url https://arxiv.org/abs/2403.15906