Amenable category and complexity

Pietro Capovilla,Clara Loeh,Marco Moraschini

ALGEBRAIC AND GEOMETRIC TOPOLOGY（2022）

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摘要

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.

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