The wall obstruction in shape and pro-homotopy, with applications

DOI10.1090/S0002-9904-1975-13886-9zbMath0316.57002OpenAlexW2151511957MaRDI QIDQ4077239

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/s0002-9904-1975-13886-9

Mathematics Subject Classification ID

General topology of complexes (57Q05) Compactness (54D30) Obstruction theory in algebraic topology (55S35) Homotopy theory (55P99) Embeddings and immersions in PL-topology (57Q35)

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An Algebraic Classification of Some Even-Dimensional Spherical Knots. 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
• Compact ANR’s have finite type
• Regular (or canonical) open neighborhoods