2000/04/02 by Justin R. Smith, Smith, Justin R.
Mathematics · #18G30 #55R91 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:18G30 #msc:55R91
paper · pdf · doi:10.48550/arxiv.math/0004003
Cleaned up some notation and added a clarifying diagram
arxiv created 2000/08/09 · arxiv updated 2009/11/30
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".