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