Mathematical Applications of Category Theory Applications Mathématiques De La Théorie Des Catégories

Abstract

One of the longstanding problems in homotopy theory is the question how, for a given space A, one can characterize the class of spaces which are homotopy equivalent to the pointed mapping spaces Map∗(A, Y ). In case where A is an n-dimensional sphere S this problem was solved in several ways using the machinery of categorical algebra: operads, PROPs, Segal… (More)

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