Primitive obstructions in the cohomology of loopspaces

Author:
Frank Williams

Journal:
Proc. Amer. Math. Soc. **91** (1984), 477-480

MSC:
Primary 55P35; Secondary 55P45, 55S20

MathSciNet review:
744652

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Abstract: Let and be -spaces. If is an -map then the obstruction to being a homotopy-commutative map is a subset . In this paper we prove: *is in the image of the composition*

*then*

*is in the image of the composition*

Consequently if *is an* -class in the sense of Stasheff then each element of is of the form where the are primitive.

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DOI:
http://dx.doi.org/10.1090/S0002-9939-1984-0744652-6

Keywords:
-space,
homotopy-commutativity,
obstruction

Article copyright:
© Copyright 1984
American Mathematical Society