A K(Z,4) in nature
Reimagining the Foundations of Algebraic Topology April 07, 2014 - April 11, 2014
Primary Mathematics Subject Classification No Primary AMS MSC Secondary Mathematics Subject Classification No Secondary AMS MSC
Topological spaces and simplicial sets have associated homotopy types (that is, the 1-category of topological spaces maps to the infinity-category of spaces, and so does the 1-category of simplicial sets), but these are not the only kind of mathematical objects that have associated homotopy types. In this talk, I will present a mathematical object (not a topological
space) that comes from the theory of von Neumann algebras, and whose associated homotopy type is K(Z,4).
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