| 书目名称 | Topology and Combinatorics of 3-Manifolds | | 编辑 | Klaus Johannson | | 视频video | | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 描述 | This book is a study of combinatorial structures of 3-mani- folds, especially Haken 3-manifolds. Specifically, it is concerned with Heegard graphs in Haken 3-manifolds, i.e., with graphs whose complements have a free fundamental group. These graphs always exist. They fix not only a combinatorial stucture but also a presentation for the fundamental group of the underlying 3-manifold. The starting point of the book is the result that the intersection of Heegard graphs with incompressible surfaces, or hierarchies of such surfaces, is very rigid. A number of finiteness results lead up to a ri- gidity theorem for Heegard graphs. The book is intended for graduate students and researchers in low-dimensional topolo- gy as well as combinatorial theory. It is self-contained and requires only a basic knowledge of the theory of 3-manifolds | | 出版日期 | Book 1995 | | 关键词 | 3-manifolds; Fundamental group; Heegard surfaces; graphs; homotopy; manifold; triangulations | | 版次 | 1 | | doi | https://doi.org/10.1007/BFb0074005 | | isbn_softcover | 978-3-540-59063-7 | | isbn_ebook | 978-3-540-49181-1Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 1995 |
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发表于 2025-3-21 17:10:55
