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Operads and cosimplicial objects: an introduction
James E. McClure, Jeffrey H. Smith
This paper is an introduction to a series of papers in which we give combinatorial models for certain important operads (including A-infinity and E-infinity operads, the little n-c…
Cosimplicial Objects and little n-cubes. I
James E. McClure, Jeffrey H. Smith
In this paper we show that if a cosimplicial space or spectrum has a certain kind of combinatorial structure (we call it a -structure) then the total space of $X^\…
Multivariable cochain operations and little n-cubes
James E. McClure, Jeffrey H. Smith
This is a revision of a paper first posted June 4, 2001. It will appear in the Journal of the AMS. In this paper we construct a small chain operad which acts natural…
A solution of Deligne's conjecture
James E. McClure, Jeffrey H. Smith
Deligne asked in 1993 whether the Hochschild cochain complex of an associative ring has a natural action by the singular chains of the little 2-cubes operad. In this paper we give…