Approximation results in Hilbert cube manifolds

Author:
T. A. Chapman

Journal:
Trans. Amer. Math. Soc. **262** (1980), 303-334

MSC:
Primary 57N20; Secondary 55R05

MathSciNet review:
586720

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Abstract: The purpose of this paper is to answer questions of the following type for maps between *Q*-manifolds: When is *f* close to an approximate fibration? When is *f* close to a fiber bundle map? When is *f* close to a block bundle map? For the second and third questions a series of obstructions are encountered in the lower algebraic *K*-theoretic functors of Bass.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1980-0586720-9

Keywords:
Hilbert cube manifolds,
engulfing,
block bundles,
aproximate fibration,
Whitehead torsion

Article copyright:
© Copyright 1980
American Mathematical Society