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Topological types of 3-dimensional small covers
-
Zhi Lü
und
Li Yu
Veröffentlicht/Copyright:
2. April 2011
Abstract
In this paper we study the (equivariant) topological types of a class of 3-dimensional closed manifolds (i.e., 3-dimensional small covers), each of which admits a locally standard (ℤ2)3-action such that its orbit space is a simple convex 3-polytope. We introduce six equivariant operations on 3-dimensional small covers. These six operations are interesting because of their combinatorial natures. Then we show that each 3-dimensional small cover can be obtained from ℝ P3 and S1 × ℝ P2 with certain (ℤ2)3-actions under these six operations. As an application, we classify all 3-dimensional small covers up to (ℤ2)3-equivariant unoriented cobordism.
Received: 2008-11-12
Revised: 2009-04-06
Published Online: 2011-04-02
Published in Print: 2011-March
© de Gruyter 2011
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- On the ampleness of the normal bundle of line congruences
- Topological types of 3-dimensional small covers
- Null controllability with constraints on the state for nonlinear heat equations
- Exponential closing property and approximation of Lyapunov exponents of linear cocycles
- Reflection systems and partial root systems
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Artikel in diesem Heft
- On the ampleness of the normal bundle of line congruences
- Topological types of 3-dimensional small covers
- Null controllability with constraints on the state for nonlinear heat equations
- Exponential closing property and approximation of Lyapunov exponents of linear cocycles
- Reflection systems and partial root systems
- Todd's maximum-volume ellipsoid problem on symmetric cones
- Refinement of the spectral asymptotics of generalized Krein Feller operators
