General position properties of ANR's

DOI10.1017/S0305004100060163zbMath0529.57008OpenAlexW2126072445MaRDI QIDQ3311331

W. J. R. Mitchell

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1017/s0305004100060163

zbMATH Keywords

generalized manifoldHilbert cube manifoldsapproximations of mapsdimension- preserving mapsdisjoint (n,m)-cells propertydisjoint discs property of Cannonhomogeneous ANRLCC embeddingLCC1 approximation property in dimension nlocally coconnectedproperty delta of Borsuksingularity of Peanovanishing of local homology groups

Mathematics Subject Classification ID

Homotopy theory (55P99) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Absolute neighborhood retracts (55M15) Local properties of generalized manifolds (57P05) Cellularity in topological manifolds (57N60)

Related Items (1)

Theory of retracts and infinite-dimensional manifolds

Cites Work

• Unnamed Item
• Detecting the disjoint disks property
• Monotone mappings of manifolds
• Shrinking cell-like decompositions of manifolds. Codimension three
• Ends of maps. I
• Some remarks concerning topologically homogeneous spaces
• Cech Homology Characterizations of Infinite Dimensional Manifolds
• Shorter Notes: ANR's Admitting an Interval Factor are Q-Manifolds

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