Titlebook: Infinity Properads and Infinity Wheeled Properads; Philip Hackney,Marcy Robertson,Donald Yau Book 2015 Springer International Publishing S

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al Science at the Karl-Franzens-University Graz..Dr. Rudolf Egger is a university professor for empirical learning environment research and university didactics at the Institute for Education and Educational Sc978-3-658-39677-0978-3-658-39678-7

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Philip Hackney,Marcy Robertson,Donald Yaual Science at the Karl-Franzens-University Graz..Dr. Rudolf Egger is a university professor for empirical learning environment research and university didactics at the Institute for Education and Educational Sc978-3-658-39677-0978-3-658-39678-7

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Introduction,e graph generates a properad, giving rise to the graphical category . of properads. Using graphical analogs of coface maps and the properadic nerve functor, an .-properad is defined as an object in the graphical set category . that satisfies some inner horn extension property. Symmetric monoidal clo

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Symmetric Monoidal Closed Structure on Properadsed by Boardman and Vogt (.. Lecture Notes in Mathematics, vol. 347, Springer, Berlin, 1973). One main result of this chapter gives a simple description of the tensor product of two free properads in terms of the two generating sets. In particular, when the free properads are finitely generated, thei

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Graphical Properads of elements precisely when the generating graph is not simply connected. The discussion of the tensor product of free properads in Chap. . applies in particular to graphical properads. Then we illustrate with several examples that a general properad map between graphical properads may exhibit bad b