Classifying spaces and classifying topoi
Collection : Lecture notes in mathematics . 1616 Publié par : Springer (Berlin) Détails physiques : 94 p. ; 24 cm. ISBN :3540603190 (paperback); 9783540603191 (paperback). Année : 1995| Type de document | Site actuel | Cote | Statut | Date de retour prévue | Code à barres | Réservations |
|---|---|---|---|---|---|---|
| Livre | La bibliothèque des Sciences Exactes et Naturelles | 510 MOE (Parcourir l'étagère) | Disponible | 0000000018495 |
Total des réservations: 0
This monograph presents a new, systematic treatment of the relation between classifying topoi and classifying spaces of topological categories. Using a new generalized geometric realization which applies to topoi, a weak homotopy equival- ence is constructed between the classifying space and the classifying topos of any small (topological) category. Topos theory is then applied to give an answer to the question of what structures are classified by "classifying" spaces. The monograph should be accessible to anyone with basic knowledge of algebraic topology, sheaf theory, and a little topos theory.


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