Fibered stable compacta have finite homotopy type
Author:
Ross Geoghegan
Journal:
Proc. Amer. Math. Soc. 71 (1978), 123-129
MSC:
Primary 55D15; Secondary 57A65
DOI:
https://doi.org/10.1090/S0002-9939-1978-0515418-4
Erratum:
Proc. Amer. Math. Soc. 74 (1979), 391.
MathSciNet review:
0515418
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Abstract | References | Similar Articles | Additional Information
Abstract: It is proved that a fibered compact metric space having the shape of a CW complex has the homotopy type of that complex, and that its Wall obstruction to finiteness is zero.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1978-0515418-4
Keywords:
Homotopy type of a CW complex,
shape,
Wall obstruction,
sequence of fibrations
Article copyright:
© Copyright 1978
American Mathematical Society