Ultrametrics and infinite dimensional Whitehead theorems in shape theory

DOI10.1007/BF02567521zbMath0855.54022OpenAlexW2028431020MaRDI QIDQ1911863

Manuel Alonso-Morón, Francisco Romero Ruiz del Portal

Publication date: 28 April 1996

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/156166

zbMATH Keywords

shape theoryshape morphismWhitehead theoremCantor completion processinvariant ultrametricpointed shape theory

Mathematics Subject Classification ID

Shape theory in general topology (54C56) Shape theory (55P55) Nonstandard topology (54J05)

Related Items (5)

Weak coarse shape equivalences and infinite dimensional Whitehead theorem in coarse shape theory ⋮ Pointed shape and global attractors for metrizable spaces ⋮ On topological shape homotopy groups ⋮ Ultrametrics on Čech homology groups ⋮ On weak shape equivalences

Cites Work

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• Shape theory. An introduction
• Counting shape and homotopy types among fundamental absolute neighborhood retracts: An elementary approach
• A counterexample in shape theory
• Compacta weak shape equivalent to ANR's
• Infinite-Dimensional Whitehead and Vietoris Theorems in Shape and Pro-Homotopy
• On the Whitehead Theorem in shape theory
• Elementary proofs of stability theorems in pro-homotopy and shape
• A Norm on the Fundamental Group of Non-Haken 3-Manifolds
• Concerning homotopy properties of compacta

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