Infinite-Dimensional Whitehead and Vietoris Theorems in Shape and Pro-Homotopy
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Publication:4098371
DOI10.2307/1997600zbMath0332.55011OpenAlexW4230077851MaRDI QIDQ4098371
Ross Geoghegan, David A. Edwards
Publication date: 1976
Full work available at URL: https://doi.org/10.2307/1997600
General topology of complexes (57Q05) Homotopy theory (55P99) Compact (locally compact) metric spaces (54E45) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)
Related Items (6)
Ultrametrics and infinite dimensional Whitehead theorems in shape theory ⋮ Theory of retracts and infinite-dimensional manifolds ⋮ Shape theory ⋮ What is the theory of shape? ⋮ The Stability Problem in Shape, and a Whitehead Theorem in Pro-Homotopy ⋮ On weak shape equivalences
Cites Work
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- Mappings between ANRs that are fine homotopy equivalences
- Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction
- Finiteness conditions for CW-complexes. I, II.
- Etale homotopy
- Equivariant \(K\)-theory and completion
- On Spaces Having the Homotopy Type of a CW-Complex
- On shapes of topological spaces
- Some remarks on shape properties of compacta
- A counterexample in shape theory
- Compacta weak shape equivalent to ANR's
- The Stability Problem in Shape, and a Whitehead Theorem in Pro-Homotopy
- Stability Theorems in Shape and Pro-Homotopy
- Compacta with the shape finite complexes
- Movability and shape-connectivity
- Locally well-behaved paracompacta in shape theory
- Concerning the Whitehead Theorem for movable compacta
- The shape of a map
- On the Whitehead Theorem in shape theory
- An example concerning the Whitehead Theorem in shape theory
- Local behavior and the Vietoris and Whitehead theorems in shape theory
- The Whitehead Theorem in the theory of shapes
- An Example in Cech Cohomology
- Concerning homotopy properties of compacta
- Shapes of compacta and ANR-systems
- Equivalence of the Borsuk and the ANR-system approach to shapes
- Realizing cell-like maps in Euclidean space
- Uniformly movable compact spaces and their algebraic properties
- ČEch Homotopy I
- Shapes for topological spaces
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