Abstract
The notion of a monad (or a triple) on a category goes back to Roger Godement [Go] and was later developed by Samuel Eilenberg, John Moore, Jonathan Beck, and others. Combining the theory of monads with that of monoidal categories, Ieke Moerdijk [Mo] formulated the notion of a bimonad. In this chapter, we outline the basics of the theory of monads and bimonads.
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© 2017 Springer International Publishing AG
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Turaev, V., Virelizier, A. (2017). Monads and bimonads. In: Monoidal Categories and Topological Field Theory . Progress in Mathematics, vol 322. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-49834-8_7
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DOI: https://doi.org/10.1007/978-3-319-49834-8_7
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Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-49833-1
Online ISBN: 978-3-319-49834-8
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