Cohomological Local Connectedness of Decomposition Spaces

DOI10.2307/2047673zbMath0697.55001OpenAlexW4248680795MaRDI QIDQ3473816

Jerzy Dydak, John J. Walsh

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047673

zbMATH Keywords

cohomology sheafVietoris-Begle mapping theoremLeray-Grothendieck spectral sequencecohomologically locally \((n+1)\)- connectedproper map between locally compact metrizable spaces

Mathematics Subject Classification ID

Sheaf cohomology in algebraic topology (55N30) Spectral sequences in algebraic topology (55T99) Classical topics in algebraic topology (55M99) Higher-dimensional local connectedness (54F35)

Related Items (3)

A model of quotient spaces ⋮ A characterization of sheaf-trivial, proper maps with cohomologically locally connected images ⋮ On fundamental groups of quotient spaces

Cites Work

• Acyclic decompositions of manifolds
• Local n-connectivity of decomposition spaces
• Local n-connectivity and approximate lifting
• Shape fibrations. II
• Sur quelques points d'algèbre homologique
• The Vietoris mapping theorem for bicompact spaces
• A Vietoris Mapping Theorem for Homotopy
• 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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