Amenable category and complexity
arXiv:2012.00612 · doi:10.2140/agt.2022.22.1417
Abstract
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 amenable category and the relation between amenable category and topological complexity.
arXiv comment33 pages; to appear in AGT
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- Homological growth of Artin kernels in positive characteristic
- On the sectional category of subgroup inclusions and Adamson cohomology theory
- Median quasimorphisms on CAT(0) cube complexes and their cup products
- The space of non-extendable quasimorphisms