The Euler characteristic of a category Export

@misc{citeulike:891088, abstract = {The Euler characteristic of a finite category is defined and shown to be compatible with Euler characteristics of other types of object, including orbifolds. A formula for the cardinality of the colimit of a diagram of sets is proved, generalizing the classical inclusion-exclusion formula. Both rest on a generalization of Mobius-Rota inversion from posets to categories.}, archivePrefix = {arXiv}, author = {Leinster, Tom}, citeulike-article-id = {891088}, citeulike-linkout-0 = {http://arxiv.org/abs/math/0610260}, citeulike-linkout-1 = {http://arxiv.org/pdf/math/0610260}, eprint = {math/0610260}, keywords = {categories}, month = {Oct}, posted-at = {2006-10-10 08:37:45}, priority = {2}, title = {The Euler characteristic of a category}, url = {http://arxiv.org/abs/math/0610260}, year = {2006} }

TY - ELEC ID - citeulike:891088 L3 - citeulike-article-id:891088 N2 - The Euler characteristic of a finite category is defined and shown to be compatible with Euler characteristics of other types of object, including orbifolds. A formula for the cardinality of the colimit of a diagram of sets is proved, generalizing the classical inclusion-exclusion formula. Both rest on a generalization of Mobius-Rota inversion from posets to categories. TI - The Euler characteristic of a category KW - categories AU - Leinster, Tom PY - 2006/Oct/08/ UR - http://arxiv.org/abs/math/0610260 ER -