A Morphism Double Category and Monoidal Structure | Zendy

S. Chatterjee | Zendy; Amitabha Lahiri | Zendy; Ambar N. Sengupta | Zendy

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A Morphism Double Category and Monoidal Structure

Author(s) -

S. Chatterjee,

Amitabha Lahiri,

Ambar N. Sengupta

Publication year - 2013

Publication title -

algebra

Language(s) - English

Resource type - Journals

eISSN - 2314-4114

pISSN - 2314-4106

DOI - 10.1155/2013/460582

Subject(s) - enriched category , symmetric monoidal category , mathematics , concrete category , closed category , closed monoidal category , morphism , higher category theory , monoidal category , pure mathematics , 2 category , category of topological spaces , object (grammar) , category theory , algebra over a field , computer science , artificial intelligence , topological tensor product , functor , biochemistry , chemistry , functional analysis , gene

We provide a recipe for “fattening” a category that leads to the construction of a double category. Motivated by an example where the underlying category has vector spaces as objects, we show how a monoidal category leads to a law of composition, satisfying certain coherence properties, on the object set of the fattened category

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