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Outline Definitions and examples Homological properties of kC-mod An example J. C. Becker, D. H. Gottlieb, The transfer map and fibre bundles, Topology 14 (1975) 1-12. W. G. Dwyer, H.-W. Henn, Homotopy Theoretic Methods in Group Cohomology, Birkhäuser 2001. (Grothendieck constr.) P. Hilton, U. Stammbach, A Course in Homological Algebra (Second edition), GTM 4, Springer 1997. (Kan extensions, Grothendieck s.s.) S. Mac Lane, Categories for the Working Mathematician (Second edition), GTM 5, Springer 1998. (various categorical constructions) I. Moerdijk, J. A. Svensson, A Shapiro lemma for diagram of spaces with applications to equivariant topology, Compositio Math. 96 (1995) 249-282. (Grothendieck s.s.) D. Quillen, Higher algebraic K-theory I, in: Lecture Notes Fei Xu Finite category algebras
Outline Definitions and examples Homological properties of kC-mod An example J. Thévenaz, G-algebras and Modular Representation Theory, Oxford University Press 1995. (transporter categories, local categories) R. W. Thomason, Homotopy colimits in the category of small categories, Math. Proc. Camb. Phil. Soc. 85 (1979) 91-109. (Grothendieck construction) P. J. Webb, An introduction to the representations and cohomology of categories, in: Group Representation Theory, EPFL Press 2007, pp. 149-173. F. Xu, Hochschild and ordinary cohomology rings of small categories, Adv. Math. 219 (2008) 1872-1893. F. Xu, Tensor structure on kC-mod and cohomology, preprint 2009. Fei Xu Finite category algebras
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