Abstract
A well-known construction associates with every monad on a category a new category, called the Kleisli category of the given monad. Following M.A. Batanin, in this section we endow the homotopy category H(pro-Top) with the structure of a monad and show that its Kleisli category is isomorphic to the coherent homotopy category CH(pro-Top). This fact is not used in other sections of the book.
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Bibliographic notes
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Batanin, M.A. (1993): Coherent categories with respect to monads and coherent prohomotopy theory. Cahiers Topol. Géom. Diff. Categor. 34, No. 4, 279–304
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© 2000 Springer-Verlag Berlin Heidelberg
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Mardešić, S. (2000). Coherent homotopy as a Kleisli category. In: Strong Shape and Homology. Springer Monographs in Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-13064-3_6
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DOI: https://doi.org/10.1007/978-3-662-13064-3_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-08546-8
Online ISBN: 978-3-662-13064-3
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