书目名称 | Classifying Spaces and Classifying Topoi |
编辑 | Izak Moerdijk |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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. |
出版日期 | Book 1995 |
关键词 | Algebraic topology; Homotopy; algebra; sheaves; topology |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0094441 |
isbn_ebook | 978-3-540-44912-6Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1995 |