| 书目名称 | Categorical Structure of Closure Operators | | 副标题 | With Applications to | | 编辑 | D. Dikranjan,W. Tholen | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | Our motivation for gathering the material for this book over aperiod of seven years has been to unify and simplify ideas wh ich appeared in a sizable number of re search articles during the past two decades. More specifically, it has been our aim to provide the categorical foundations for extensive work that was published on the epimorphism- and cowellpoweredness problem, predominantly for categories of topological spaces. In doing so we found the categorical not ion of closure operators interesting enough to be studied for its own sake, as it unifies and describes other significant mathematical notions and since it leads to a never-ending stream of ex amples and applications in all areas of mathematics. These are somewhat arbitrarily restricted to topology, algebra and (a small part of) discrete mathematics in this book, although other areas, such as functional analysis, would provide an equally rich and interesting supply of examples. We also had to restrict the themes in our theoretical exposition. In spite of the fact that closure operators generalize the uni versal closure operations of abelian category theory and of topos- and sheaf theory, we chose to mention these aspect | | 出版日期 | Book 1995 | | 关键词 | Category theory; algebra; discrete mathematics; topological group; topology | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-8400-5 | | isbn_softcover | 978-90-481-4631-4 | | isbn_ebook | 978-94-015-8400-5 | | copyright | Springer Science+Business Media Dordrecht 1995 |
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发表于 2025-3-21 18:07:00
