The stability problem in shape and a Whitehead theorem in pro-homotopy

DOI10.1090/S0002-9904-1975-13777-3zbMath0303.55009OpenAlexW2046297208MaRDI QIDQ4057806

David A. Edwards, Ross Geoghegan

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1975-13777-3

Mathematics Subject Classification ID

General topology of complexes (57Q05) Homotopy theory (55P99) Compact (locally compact) metric spaces (54E45) Spectra in general topology (54B35) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

Related Items

Theory of shapes. I

Cites Work

• 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
• The Stability Problem in Shape, and a Whitehead Theorem in Pro-Homotopy
• Compacta with the shape finite complexes
• On the Whitehead Theorem in shape theory
• Concerning homotopy properties of compacta
• Fundamental retracts and extensions of fundamental sequences
• Some remarks concerning the shape of pointed compacta
• On shape