Local n-connectivity of decomposition spaces

DOI10.1016/0166-8641(84)90030-0zbMath0547.54027OpenAlexW2011486858MaRDI QIDQ798979

Jerzy Dydak, Jack Segal

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0166-8641(84)90030-0

zbMATH Keywords

local connectivitydecomposition spaceFreudenthal compactificationMittag-Leffler condition\(LC^ k\)-divisors\(LC^ k\)-spacehomology n-stable closed surjectionlocal n-connectednessstability of pro- groupsVietoris-Smale-like theorems

Mathematics Subject Classification ID

Quotient spaces, decompositions in general topology (54B15) Higher-dimensional local connectedness (54F35)

Related Items (6)

Partially Acyclic Manifold Decompositions Yielding Generalized Manifolds ⋮ Decompositions into Codimension-Two Manifolds ⋮ Hereditarily aspherical compacta ⋮ Cohomological Local Connectedness of Decomposition Spaces ⋮ Decompositions into submanifolds that yield generalized manifolds ⋮ Decompositions into codimension two spheres and approximate fibrations

Cites Work

• Acyclic decompositions of manifolds
• Local n-connectivity and approximate lifting
• Approximate fibrations
• Approximate fibrations and a movability condition for maps
• Ends of maps. I
• A Vietoris Mapping Theorem for Homotopy
• A Hurewicz-Type Theorem for Approximate Fibrations
• A Stable Converse to the Vietoris-Smale Theorem with Applications to Shape Theory
• Cell-like mappings and their generalizations
• Decompositions into Compact Sets with UV Properties
• Factorization of Certain Maps up to Homotopy
• Homotopy Properties of Decomposition Spaces
• Modified Vietoris theorems for homotopy
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