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Thesis

Associative n-categories

Abstract:

We define novel fully combinatorial models of higher categories. Our definitions are based on a connection of higher categories to "directed spaces". Directed spaces will be locally modelled on manifold diagrams, which are stratifications of the n-cube such that strata are transversal to the flag foliation of the n-cube. The first part of this thesis develops a combinatorial language for manifold diagrams called singular n-cubes. In the second part we apply this language to build our ...

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Division:
MPLS
Department:
Computer Science
Role:
Author

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Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
UUID:
uuid:9f9d8668-a48a-4b30-9883-b11e4edbfc54
Deposit date:
2019-11-15

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