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arXiv:0803.1408

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Title: Laplaza Sets, or How to Select Coherence Diagrams for Pseudo Algebras
Authors: Thomas M. Fiore, Po Hu, Igor Kriz
Categories: math.CT Category Theory (math.AT Algebraic Topology; physics.hep-th High Energy Physics - Theory)
Comments: 21 pages. To appear in the Advances of Mathematics. Exposition improved, notion of operad with degeneracies removed as a simplification, definition of pseudo algebra improved.
MSC: 18C10, 18C20, 81T40

Abstract: We define a general concept of pseudo algebras over theories and 2-theories. A more restrictive such notion was introduced by Hu and Kriz, but as noticed by M. Gould, did not capture the desired examples. The approach taken in this paper corrects the mistake by introducing a more general concept, allowing more flexibility in selecting coherence diagrams for pseudo algebras.

Owner: Thomas Fiore
Version 1: Mon, 10 Mar 2008 13:32:12 GMT
Version 2: Sun, 27 Apr 2008 08:38:59 GMT

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