Hochschild-Mitchell cohomology of a locally bounded category
We consider k-linear categories A which are locally bounded, that is, for every object x, the sums Sigma(y) dim(k) A(x,y) and Sigma(y) dim(k) A(y,x) are finite. Let x(1), x(2),..., be an enumeration of the objects of A such that for each n is an element of N, the full subcategory A((n)) of A formed...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2007 |
| País: | México |
| Institución: | Universidad Nacional Autónoma de México |
| Repositorio: | Sistema de Información de la Facultad de Ciencias, UNAM |
| OAI Identifier: | oai:repositorio.fciencias.unam.mx:11154/2266 |
| Acceso en línea: | http://hdl.handle.net/11154/2266 |
| Access Level: | acceso abierto |
| Palabra clave: | Mathematics, Applied Mathematics Hochschild-Mitchell cohomology locally bounded category inverse limit |
| Sumario: | We consider k-linear categories A which are locally bounded, that is, for every object x, the sums Sigma(y) dim(k) A(x,y) and Sigma(y) dim(k) A(y,x) are finite. Let x(1), x(2),..., be an enumeration of the objects of A such that for each n is an element of N, the full subcategory A((n)) of A formed by the objects x(1), x(2),...,x(n) is convex in A. We compute the Hochschild-Mitchell cohomology of A as the inverse limit of the cohomologies of the categories A((n)). |
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