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

 

Skeleta of complexes with low $ MU\sb\ast $ projective dimension


Author: David Copeland Johnson
Journal: Proc. Amer. Math. Soc. 32 (1972), 599-604
MSC: Primary 55.25
MathSciNet review: 0288754
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Abstract: Let $ M{U_ \ast }(X)$ be the unitary bordism of a finite complex X. Let $ {X^p}$ be the p-skeleton of X. This note proves that certain properties of $ M{U_ \ast }(X)$ are shared by $ M{U_\ast}({X^p})$ when the projective dimension of $ M{U_\ast}(X)$ as a $ M{U_\ast}$ module is low (0, 1, or 2).


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DOI: http://dx.doi.org/10.1090/S0002-9939-1972-0288754-1
PII: S 0002-9939(1972)0288754-1
Keywords: Unitary bordism, connective k-theory, homological dimension, finite complexes, Atiyah-Hirzebruch-Dold spectral sequence
Article copyright: © Copyright 1972 American Mathematical Society