Carrier and nerve theorems in the extension theory

DOI10.1090/S0002-9939-06-08477-2zbMath1142.55005arXivmath/0506525MaRDI QIDQ3420025

Andrzej Nagórko

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0506525

zbMATH Keywords

coveringsregular coverabsolute extensornerve

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) de Rham theory in global analysis (58A12) Dimension theory in general topology (54F45) Extension of maps (54C20)

Related Items (6)

A unified view on the functorial nerve theorem and its variations ⋮ Vietoris thickenings and complexes have isomorphic homotopy groups ⋮ Local $k$-connectedness of an inverse limit of polyhedra ⋮ A construction of {N} ⋮ Characterization and topological rigidity of Nöbeling manifolds ⋮ On topological types of ordered median functions

Cites Work

• Nerves, fibers and homotopy groups
• Sur les théorèmes de de Rham
• Homotopy Type Comparison of a Space with Complexes Associated with its Open Covers
• On the imbedding of systems of compacta in simplicial complexes
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