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Category theory arising from geometry, algebra, computer science and physics

Title
Category theory arising from geometry, algebra, computer science and physics
Funding
ARC | Discovery Projects
Contract (GA) number
DP0450767
Start Date
2004/01/01
End Date
2006/12/31
Open Access mandate
no
Organizations
-
More information
http://purl.org/au-research/grants/arc/DP0450767

 

  • Mackey functors on compact closed categories

    We develop and extend the theory of Mackey functors as an application of enriched category theory. We define Mackey functors on a lextensive category $\E$ and investigate the properties of the category of Mackey functors on $\E$. We show that it is a monoidal category and the monoids are Green functors. Mackey functors are seen as providing a setting in which mere numerical equations occurring in the theory of groups can be given a structural foundation. We obtain an explicit description of t...
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