Simplicial Methods for Higher Categories (eBook, PDF)
Simona Paoli
eBook, PDF

Simplicial Methods for Higher Categories (eBook, PDF)

Segal-type Models of Weak n-Categories

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This monograph presents a new model of mathematical structures called weak $n$-categories. These structures find their motivation in a wide range of fields, from algebraic topology to mathematical physics, algebraic geometry and mathematical logic. While strict $n$-categories are easily defined in terms associative and unital composition operations they are of limited use in applications, which often call for weakened variants of these laws. The author proposes a new approach to this weakening, whose generality arises not from a weakening of such laws but from the very geometric structure of i...

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