A counterexample in shape theory

DOI10.1090/S0002-9904-1975-13768-2zbMath0316.55010WikidataQ125056529 ScholiaQ125056529MaRDI QIDQ4077229

Joseph L. Taylor

Publication date: 1975

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Homotopy theory (55P99) Compact (locally compact) metric spaces (54E45) Counterexamples in general topology (54G20) Spectra in general topology (54B35) Topology of infinite-dimensional manifolds (57N20)

Related Items (30)

On problems of H. Cook ⋮ Absolute F-valued retracts and spaces of functions in the topology of pointwise convergence ⋮ Stabilizing fake Hilbert spaces ⋮ The properties and applications of relative homotopy ⋮ Realizing dimension functions via homology ⋮ A Peano Continuum Homeomorphic to Its Own Square But Not to Its Countable Infinite Product ⋮ Ultrametrics and infinite dimensional Whitehead theorems in shape theory ⋮ \(UV^{\infty}\)-maps that are fine homotopy equivalences ⋮ The Role of Countable Dimensionality in the Theory of Cell-Like Relations ⋮ AR-Maps Obtained From Cell-Like Maps ⋮ Constructions of relative retracts in the Hilbert cube ⋮ The homotopies of admissible multivalued mappings ⋮ Products of cell-like decompositions ⋮ Multidomination of metric spaces in the context of multimorphisms ⋮ A counterexample in ANR theory ⋮ Shape bundles ⋮ A Vietoris-Begle theorem for connective Steenrod homology theories and cell-like maps between metric compacta ⋮ On noncontractible compacta with trivial homology and homotopy groups ⋮ Cell-like mappings and their generalizations ⋮ Another Counterexample in ANR Theory ⋮ Local Contractibility, Cell-Like Maps, and Dimension ⋮ Cohomology Theories on Spaces ⋮ On a generalization of absolute neighborhood retracts ⋮ Shape theory ⋮ What is the theory of shape? ⋮ Reflexive retracts and its properties ⋮ Infinite-Dimensional Whitehead and Vietoris Theorems in Shape and Pro-Homotopy ⋮ A characterization of inverse limits of Q-bundle maps ⋮ Theory of shapes. I ⋮ Vietoris-Begle Theorem and Spectra

Cites Work

• Unnamed Item
• On the groups \(J(X)\). IV
• Shapes of compacta and ANR-systems
• Realizing cell-like maps in Euclidean space

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