منابع مشابه
Small Covers over Prisms
In this paper we calculate the number of equivariant diffeomorphism classes of small covers over a prism.
متن کاملCohomological Rigidity and the Number of Homeomorphism Types for Small Covers over Prisms
In this paper we give a method of constructing homeomorphisms between two small covers over simple convex polytopes. As a result we classify, up to homeomorphism, all small covers over a 3-dimensional prism P(m) with m ≥ 3. We introduce two invariants from colored prisms and two invariants from ordinary cohomology ring, which form a complete invariant system of homeomophism types of all small c...
متن کاملThe Number of Small Covers over Cubes
In the present paper we find a bijection between the set of small covers over an n-cube and the set of acyclic digraphs with n labeled nodes. Using this, we give a formula of the number of small covers over an n-cube (generally, a product of simplices) up to Davis-Januszkiewicz equivalence classes and Zn2 -equivariant diffeomorphism classes. Moreover we prove that the number of acyclic digraphs...
متن کاملThe Number of Orientable Small Covers over Cubes
In the present paper, we count orientable small covers over cubes. We also prove that the ratio of orientable small covers to all things approaches to 0 as n increases.
متن کاملHamilton cycles in prisms over graphs
The prism over a graph G is the Cartesian product G2K2 of G with the complete graph K2. If G is hamiltonian, then G2K2 is also hamiltonian but the converse does not hold in general. Having a hamiltonian prism is shown to be a good measure how close a graph is to being hamiltonian. In this paper, we examine classical problems on hamiltonicity of graphs in the context of hamiltonian prisms.
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ژورنال
عنوان ژورنال: Topology and its Applications
سال: 2007
ISSN: 0166-8641
DOI: 10.1016/j.topol.2007.02.008