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http://hdl.handle.net/2072/10064
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| Title: | The Euler characteristic of a category |
| Authors: | Leinster, Tom |
| Other authors: | Centre de Recerca Matemàtica |
| Subjects: | Categories (Matemàtica)
Euler, Integrals d' |
| Creation Date: | Mar-2008 |
| Publisher: | Centre de Recerca Matemàtica |
| Series/Report no.: | Prepublicacions del Centre de Recerca Matemàtica;793 |
| 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 is proved for the cardinality of a colimit of sets, generalizing the classical inclusion-exclusion formula.
Both rest on a generalization of Rota's Möbius inversion from posets to categories. |
| CDU: | 512 - Algebra |
| Appears in Collections: | Prepublicacions del Centre de Recerca Matemàtica
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