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Polyhedron cross-section and small cover closed submanifold

Author: YangZhao
Tutor: LvZhi
School: Fudan University
Course: Basic mathematics
Keywords: group action manifold pseudomanifold tubular neighborhood polytope 2-torus action small cover
CLC: O186.12
Type: Master's thesis
Year: 2009
Downloads: 25
Quote: 1
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Abstract


Letπ:Mn→Pn be a small cover of Pn,S is an(n-1)-dimensional sec-tion of Pn.In this paper we study the relationship between S andπ-1(S).We give a necessary and sufficient condition thatπ-1(S)is an(n-1)-dimensional closed submanifold(or two(n-1)-dimensional closed submanifolds which are homeomorphic to each other),and a necessary and sufficient condition thatπ-1(S)is an(n-1)-dimensional pseudomanifold.

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CLC: > Mathematical sciences and chemical > Mathematics > Geometry, topology > Differential geometry,integral geometry > Differential Geometry > Riemannian geometry
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