Amenable category and complexity

Capovilla, Pietro and Loh, Clara and Moraschini, Marco (2022) Amenable category and complexity. ALGEBRAIC AND GEOMETRIC TOPOLOGY, 22 (3). pp. 1417-1459. ISSN 1472-2739,

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Abstract

The amenable category is a variant of the Lusternik-Schnirelman category, based on covers by amenable open subsets. We study the monotonicity problem for degree-one maps and the amenable category, and the relation between the amenable category and topological complexity.

Item Type: Article
Uncontrolled Keywords: LUSTERNIK-SCHNIRELMANN CATEGORY; LOCALLY SYMMETRIC-SPACES; BOUNDED COHOMOLOGY; SIMPLICIAL VOLUME; TOPOLOGICAL COMPLEXITY; GROMOV INVARIANT; CUP PRODUCT; MANIFOLDS; THEOREM; COVERS;
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Clara Löh
Depositing User: Dr. Gernot Deinzer
Date Deposited: 09 Jan 2024 07:39
Last Modified: 09 Jan 2024 07:39
URI: https://pred.uni-regensburg.de/id/eprint/57071

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