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

 

Compressible maps


Author: Jay E. Goldfeather
Journal: Proc. Amer. Math. Soc. 60 (1976), 339-342
MSC: Primary 55D35
MathSciNet review: 0423339
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Abstract: Weingram has shown that if G is a finitely generated abelian group, then every nontrivial map $ f:\Omega {S^{2n + 1}} \to K(G,2n)$ is incompressible; that is, f is not homotopic to a map whose image is contained in some finite-dimensional skeleton.

It is shown that a nontrivial map $ \Omega {S^{2n + 1}} \to K(G,2n)$ may be compressible if G is not finitely generated. This result leads to some understanding of the obstructions to compressibility in Weingram's Theorem.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0423339-9
PII: S 0002-9939(1976)0423339-9
Keywords: H-space $ \bmod\;p$
Article copyright: © Copyright 1976 American Mathematical Society