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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Approximate fibrations with nonfinite fibers


Author: Steve Ferry
Journal: Proc. Amer. Math. Soc. 64 (1977), 335-345
MSC: Primary 55F65
MathSciNet review: 0461505
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Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that every ANR fibration over $ {S^1}$ with finitely dominated fiber is homotopy equivalent to an approximate fibration with compact ANR total space. This yields examples of approximate fibrations with arbitrary compact pointed FANR fibers.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0461505-8
PII: S 0002-9939(1977)0461505-8
Keywords: Approximate fibration, shape, finiteness obstruction
Article copyright: © Copyright 1977 American Mathematical Society