Cosimplicial objects and little n-cubes, I

By James E. McClure, Jeffrey H. Smith. 2002

91 citations recorded by the source corpus.

In this paper we show that if a cosimplicial space has a certain kind of combinatorial structure then its total space has an action of an operad weakly equivalent to the little n -cubes operad. Our results are also valid for cosimplicial spectra.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/fdc53fef9f3e1eac05ff73a67306a0eb4739d153

How researchers see this paper

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In Algebra and Number Theory

1. Jeffrey H. Smith
2. James E. McClure
3. R. Kaufmann
4. John E. Harper
5. Benoit Fresse
6. C. Berger

In Geometry and Topology

1. Jeffrey H. Smith
2. James E. McClure
3. R. Kaufmann
4. John E. Harper
5. Benoit Fresse
6. C. Berger

In Mathematical Physics

1. Jeffrey H. Smith
2. James E. McClure
3. R. Kaufmann
4. John E. Harper
5. Benoit Fresse
6. C. Berger

Citations in the corpus

• Multivariable cochain operations and little -cubes (2001, result): “Our choice of signs is motivated by the cosimplicial point of view developed in [ 18 ].”
• Operads and Cosimplicial Objects: An Introduction (2004, methodology): “The remainder of this section gives an outline of the proof of Theorem 4.3; for details see [ 28, Section 3 ].”