Local n-connectivity and approximate lifting

DOI10.1016/0166-8641(82)90031-1zbMath0514.54004OpenAlexW2092609119WikidataQ128036956 ScholiaQ128036956MaRDI QIDQ1051292

D. S. Coram, P. F. jun. Duvall

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90031-1

zbMATH Keywords

cell-like mappingapproximate fibrationFANRHurewicz fibrationapproximate fibrations with FANR fibersapproximate homotopy lifting property for k-cellsLCnlocally compact separable metric absolute neighbourhood retractslocally n-connected space

Mathematics Subject Classification ID

Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Absolute neighborhood retracts (55M15) Generalizations of fiber spaces and bundles in algebraic topology (55R65)

Related Items (3)

Cohomological Local Connectedness of Decomposition Spaces ⋮ Local n-connectivity of decomposition spaces ⋮ Small knots in Seifert fibered 3-manifolds

Cites Work

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• Approximate fibrations
• Approximate fibrations and a movability condition for maps
• Cell-like mappings. I
• On Fiber Spaces
• A Vietoris Mapping Theorem for Homotopy
• Fundamental retracts and extensions of fundamental sequences
• Completely Regular Maps, Fiber Maps and Local n-Connectivity
• Decompositions into Compact Sets with UV Properties
• Factorization of Certain Maps up to Homotopy
• A note on the theory of shape of compacta

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