The Stability Problem in Shape, and a Whitehead Theorem in Pro-Homotopy
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Publication:4082037
DOI10.2307/1997107zbMath0319.55017OpenAlexW4254434585MaRDI QIDQ4082037
Ross Geoghegan, David A. Edwards
Publication date: 1975
Full work available at URL: https://doi.org/10.2307/1997107
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)
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Cites Work
- Modules over finite groups
- Shapes of complexes, ends of manifolds, homotopy limits and the Wall obstruction
- Finiteness conditions for CW-complexes. I, II.
- Etale homotopy
- Homotopy limits, completions and localizations
- Compacta weak shape equivalent to ANR's
- Stability Theorems in Shape and Pro-Homotopy
- Infinite-Dimensional Whitehead and Vietoris Theorems in Shape and Pro-Homotopy
- Compacta with the shape finite complexes
- On the Whitehead Theorem in shape theory
- An example concerning the Whitehead Theorem in shape theory
- The Whitehead Theorem in the theory of shapes
- An Example in Cech Cohomology
- Concerning homotopy properties of compacta
- Fundamental retracts and extensions of fundamental sequences
- Some remarks concerning the shape of pointed compacta
- Shapes of compacta and ANR-systems
- On shape
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item