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- Walczak Szymon M.
- University of Łódź, Faculty of Mathematics and Computer Science
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We discuss the topology of Hausdorff leaf spaces (briefly the HLS) for foliation of codimension one. After examining the connection between HLSs and warped foliations, we describe the HLSs associated with foliations obtained by basic constructions such as transversal and tangential gluing, spinning, turbulization and suspension. We show that the HLS for any foliation of codimension one on a compact Riemannian manifold is isometric to a finite connected metric graph, and any finite connected metric graph is isometric to a certain HLS. In the final part of this paper, we discuss the condition for a sequence of warped foliations to converge the HLS.
収録刊行物
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- Journal of the Mathematical Society of Japan
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Journal of the Mathematical Society of Japan 63 (2), 473-502, 2011
一般社団法人 日本数学会
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詳細情報 詳細情報について
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- CRID
- 1390001205116213760
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- NII論文ID
- 10029321626
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- NII書誌ID
- AA0070177X
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- ISSN
- 18811167
- 18812333
- 00255645
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- NDL書誌ID
- 11060238
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- 本文言語コード
- en
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- データソース種別
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- JaLC
- NDL
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- 抄録ライセンスフラグ
- 使用不可