One-dimensional foliations on topological manifolds
<p>Let X be an (n+1)-dimensional manifold, Δ be a one-dimensional foliation on X, and p: X → X / Δ be a quotient map.</p><p>We will say that a leaf ω of Δ is <em>special</em> whenever the space of leaves X / Δ is not Hausdorff at ω.</p>We present necessary and suf...
Main Authors: | , |
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Format: | Article |
Language: | Russian |
Published: |
Odessa National Academy of Food Technologies
2016-06-01
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Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
Subjects: | |
Online Access: | http://journals.gsjp.eu/index.php/geometry/article/view/277 |
Summary: | <p>Let X be an (n+1)-dimensional manifold, Δ be a one-dimensional foliation on X, and p: X → X / Δ be a quotient map.</p><p>We will say that a leaf ω of Δ is <em>special</em> whenever the space of leaves X / Δ is not Hausdorff at ω.</p>We present necessary and sufficient conditions for the map p: X → X / Δ to be a locally trivial fibration under assumptions that all leaves of Δ are non-compact and the family of all special leaves of Δ is locally finite. |
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ISSN: | 2072-9812 2409-8906 |