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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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 $ f:\,M \to \,N$ 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 $ {K_{ - \,i}}$ of Bass.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1980-0586720-9
PII: S 0002-9947(1980)0586720-9
Keywords: Hilbert cube manifolds, engulfing, block bundles, aproximate fibration, Whitehead torsion
Article copyright: © Copyright 1980 American Mathematical Society