Approximate fibrations with nonfinite fibers

Author:
Steve Ferry

Journal:
Proc. Amer. Math. Soc. **64** (1977), 335-345

MSC:
Primary 55F65

DOI:
https://doi.org/10.1090/S0002-9939-1977-0461505-8

MathSciNet review:
0461505

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Abstract: It is shown that every ANR fibration over 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:
https://doi.org/10.1090/S0002-9939-1977-0461505-8

Keywords:
Approximate fibration,
shape,
finiteness obstruction

Article copyright:
© Copyright 1977
American Mathematical Society