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This paper describes a relationship between essentially finite groupoids and 2-vector spaces.
Abelian Categories: An Introduction to the Theory of Functors
Freyd, P · 1964
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Categories for the Working Mathematician
MacLane, S · 1971
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Enriched categories and cohomology
Street, R · 1983
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Sheaves in Geometry and Logic: A First Introduction to Topos Theory
MacLane, S., and Moerdijk, I · 1992
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2-categories and Zamolodchikov tetrahedron equations
Kapranov, M., and Voevodsky, V · 1994
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Group theory and physics
Sternberg, S · 1994
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Higher-dimensional algebra II: 2-hilbert spaces
Baez, J · 1997
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From finite sets to Feynman diagrams
Baez, J., and Dolan, J · 2001
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Higher-dimensional algebra VI: Lie 2-algebras
Baez, J., and Crans, A · 2004
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Universal properties of span
Dawson, R. J. M., Paré, R., and Pronk, D. A · 2004
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Higher-dimensional algebra VII: Groupoidification
Baez, J
Cited in the paper.
Beck-Chevalley condition and exact squares
Bénabou, J., and Streicher, T
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Representations and Cohomolgy I: Basic representation theory of finite groups and associative algebras
Benson, D
Cited in the paper.
Functorial Semantics of Algebraic Theories and Some Algebraic Problems in the Context of Functorial Semantics of Algebraic Theories
Lawvere, W. F · 2004
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Frobenius algebras and ambidextrous adjunctions
Lauda, A. D · 2006
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Categories of Mackey Functors
Panchadcharam, E · 2006
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Extended TQFT’s and Quantum Gravity
Morton, J. C · 2007
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Generalized 2-vector spaces and general linear 2-groups
Elgueta, J · 2091
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