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arXiv · 0910.0512

A category of quantum categories

Dimitri Chikhladze
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Abstract

Quantum categories were introduced in [4] as generalizations of both bi(co)algebroids and small categories. We clarify details of that work. In particular, we show explicitly how the monadic definition of a quantum category unpacks to a set of axioms close to the definitions of a bialgebroid in the Hopf algebraic literature. We define notions of functor and natural transformation for quantum categories.

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Dimitri Chikhladze. 2009-10-03. A category of quantum categories. https://arxiv.org/abs/0910.0512

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