Topological Types of 3-dimensional Small Covers
نویسندگان
چکیده
In this paper we study the (equivariant) topological types of a class of 3dimensional closed manifolds (i.e., 3-dimensional small covers), each of which admits a (Z2) -action such that its orbit space is a simple convex 3-polytope. We introduce six equivariant operations on such 3-dimensional closed manifolds. These six operations are interesting because of their combinatorial natures. Then we show that each such 3-dimensional closed manifold can be obtained from S,RP 3 and S × RP 2 with certain (Z2) -actions under these six operations. As an application, we classify all such 3-manifolds up to equivariant unoriented cobordism.
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