Amenable category and complexity

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.

33 pages; to appear in AGT

References in corpus (2)

• On the Berstein-Svarc Theorem in dimension 2
• Maps of degree one, relative LS category and higher topological complexities

Cited by in corpus (5)

• On the simplicial volume and the Euler characteristic of (aspherical) manifolds
• 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