Operads and algebraic homotopy

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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".
Cleaned up some notation and added a clarifying diagram

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Algebraic Topology, 55R91;18G30

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http://salesiana.dossiersoluciones.com/handle/123456789/58961

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0004003
 http://arxiv.org/abs/math/0004003

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arXiv