Counting shape and homotopy types among fundamental absolute neighborhood retracts: An elementary approach
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Publication:1313521
DOI10.1007/BF02568355zbMath0839.54021MaRDI QIDQ1313521
Manuel Alonso-Morón, Francisco Romero Ruiz del Portal
Publication date: 31 January 1994
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/155851
Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Shape theory in general topology (54C56) Shape theory (55P55)
Related Items (5)
Ultrametrics and infinite dimensional Whitehead theorems in shape theory ⋮ Homotopy decompositions of polyhedra into products with the second factor \(S^1\) ⋮ Polyhedra dominating finitely many different homotopy types ⋮ Simply-connected polyhedra dominate only finitely many different shapes ⋮ On weak shape equivalences
Cites Work
- Mapping Hilbert cube manifolds to ANR's: A solution of a conjecture of Borsuk
- Shape theory. An introduction
- Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction
- Counting homotopy types of manifolds
- Counting topological manifolds
- Homotopy Types of Arns's
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