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A canonical operad pair

Published online by Cambridge University Press:  24 October 2008

Richard Steiner
Affiliation:
University of Warwick, Coventry

Extract

The purpose of this paper is to construct an operad ℋ with the good properties of both the little convex bodies partial operad and the little cubes operad used in May's theory of E∞ ring spaces or multiplicative infinite loop spaces ((6), chapter VII). In (6) ℋ can then be used instead of and , and the theory becomes much simpler; in particular all partial operads can be replaced by genuine ones. The method used here is a modification of that which May suggests on (6), page 170, but cannot carry out.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1979

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References

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