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Orientable small covers over a product space
- Source :
- Chinese Annals of Mathematics, Series B. 37:331-356
- Publication Year :
- 2016
- Publisher :
- Springer Science and Business Media LLC, 2016.
-
Abstract
- A small cover is a closed manifold Mn with a locally standard (ℤ2)n-action such that its orbit space is a simple convex polytope Pn. Let Δn denote an n-simplex and P(m) an m-gon. This paper gives formulas for calculating the number of D-J equivalent classes and equivariant homeomorphism classes of orientable small covers over the product space \(\Delta ^{n_1 } \times \Delta ^{n_2 } \times P(m)\), where n1 is odd.
- Subjects :
- Closed manifold
Applied Mathematics
General Mathematics
010102 general mathematics
Polytope
Space (mathematics)
01 natural sciences
010101 applied mathematics
Combinatorics
Cover (topology)
Homeomorphism (graph theory)
Convex polytope
Equivariant map
Product topology
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 18606261 and 02529599
- Volume :
- 37
- Database :
- OpenAIRE
- Journal :
- Chinese Annals of Mathematics, Series B
- Accession number :
- edsair.doi...........741bbe547cd3b5c3fb179ae1abe45f15