| 書目名稱 | Geometric Aspects of General Topology | | 編輯 | Katsuro Sakai | | 視頻video | http://file.papertrans.cn/384/383475/383475.mp4 | | 概述 | The perfect book for acquiring fundamental knowledge of simplicial complexes and the theories of dimension and retracts.Many proofs are illustrated by figures or diagrams for easier understanding.Fasc | | 叢書名稱 | Springer Monographs in Mathematics | | 圖書封面 |  | | 描述 | .This book is designed for graduate students to acquire knowledge of dimension theory, ANR theory (theory of retracts), and related topics. These two theories are connected with various fields in geometric topology and in general topology as well. Hence, for students who wish to research subjects in general and geometric topology, understanding these theories will be valuable. Many proofs are illustrated by figures or diagrams, making it easier to understand the ideas of those proofs. Although exercises as such are not included, some results are given with only a sketch of their proofs. Completing the proofs in detail provides good exercise and training for graduate students and will be useful in graduate classes or seminars..Researchers should also find this book very helpful, because it contains many subjects that are not presented in usual textbooks, e.g., dim .X. × .I .= dim .X. + 1 for a metrizable space .X.; the difference between the small and large inductive dimensions; a hereditarily infinite-dimensional space; the ANR-ness of locally contractible countable-dimensional metrizable spaces; an infinite-dimensional space with finite cohomological dimension; a dimension raising | | 出版日期 | Book 2013 | | 版次 | 1 | | doi | https://doi.org/10.1007/978-4-431-54397-8 | | isbn_softcover | 978-4-431-54699-3 | | isbn_ebook | 978-4-431-54397-8Series ISSN 1439-7382 Series E-ISSN 2196-9922 | | issn_series | 1439-7382 | | copyright | Springer Japan 2013 |
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