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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Stable thickenings in the homotopy category


Author: R. L. Chazin
Journal: Trans. Amer. Math. Soc. 205 (1975), 71-77
MSC: Primary 57B10; Secondary 57D10
MathSciNet review: 0380810
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Abstract: This paper extends the result that the set of stable thickenings of a simply-connected complex $ K$ are in 1-1 correspondence with $ [K,BQ](Q = {\rm O},$PL$ ,{\text{or TOP)}}$. which holds in the smooth, PL, and topological categories, to the homotopy category.


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DOI: https://doi.org/10.1090/S0002-9947-1975-0380810-X
Keywords: Poincaré complex, homotopy category, thickening, stable thickening, spherical fibration
Article copyright: © Copyright 1975 American Mathematical Society