Homotopycommutative spaces
Authors:
James P. Lin and Frank Williams
Journal:
Proc. Amer. Math. Soc. 113 (1991), 857865
MSC:
Primary 55P45; Secondary 55S05, 55S45
MathSciNet review:
1047005
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Abstract: Let be an space with , where and . In this article we prove that cannot be homotopycommutative. Combining this result with a theorem of Michael Slack results in the following theorem: Let be a homotopycommutative space with cohomology finitely generated as an algebra. Then is isomorphic as an algebra over to the cohomology of a torus producted with a finite number of s and s.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939199110470052
PII:
S 00029939(1991)10470052
Keywords:
Homotopycommutative space,
cohomology operation,
Steenrod algebra
Article copyright:
© Copyright 1991
American Mathematical Society
