Operads and algebraic homotopy

Justin R Smith

doi:10.48550/arxiv.math/0004003

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Operads and algebraic homotopy

Justin R Smith

02 Apr 2000

DOI: https://doi.org/10.48550/arxiv.math/0004003

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Preprint (Author's original)arXiv.org - Non-exclusive license to distribute, Open

Abstract

Mathematics - Algebraic Topology

This paper proves that the homotopy type of a pointed, simply-connected, 2-reduced simplicial set is determined by the chain-complex augmented by functorial diagonal and higher diagonal maps (a simple generalization of the ones used to define Steenrod operations). The treatment of this problem is completely self-contained, and includes material that simplifies, extends, and corrects material from the authors AMS Memoir, "Iterating the cobar construction".

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Title: Operads and algebraic homotopy
Creators: Justin R Smith
Resource Type: Preprint
Language: English
Academic Unit: [Retired Faculty]
Other Identifier: 991021880196604721

Operads and algebraic homotopy

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Abstract

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