Operads and Props

  title={Operads and Props},
  author={Martin Markl},
We review definitions and basic properties of operads, PROPs and algebras over these structures. Dedicated to the memory of Jakub Jan Ryba (1765–1815) Operads involve an abstraction of the family {Map(X, X)}n≥0 of composable functions of several variables together with an action of permutations of variables. As such, they were originally studied as a tool in homotopy theory, specifically for iterated loop spaces and homotopy invariant structures, but the theory of operads has recently received… CONTINUE READING
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