On the LS-category of homomorphism of almost nilpotent groups

DOI10.1016/j.topol.2023.108776arXiv2308.14886OpenAlexW4388933989MaRDI QIDQ6142718

Nursultan Kuanyshov

Publication date: 4 January 2024

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2308.14886

zbMATH Keywords

Lusternik-Schnirelmann categorygroup homomorphism

Mathematics Subject Classification ID

Lyusternik-Shnirel'man category of a space, topological complexity à la Farber, topological robotics (topological aspects) (55M30) Cohomology of groups (20J06) Discrete subgroups of Lie groups (22E40) Dimension theory in algebraic topology (55M10) General properties and structure of other Lie groups (22E20)

Cites Work

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• On the Lusternik-Schnirelmann category of abstract groups
• On the existence of slices for actions of non-compact Lie groups
• On nonnilpotent inseparable groups of order \(p^nq^m\)
• On the topological complexity of maps
• On the Berstein–Svarc theorem in dimension 2
• On the Lusternik–Schnirelmann category of Grassmannians
• The Lusternik–Schnirelmann category of a connected sum
• On the LS-category of group homomorphisms

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