Datta, Basudeb and Nilakantan, Nandini (2002) Two-dimensional weak pseudomanifolds on eight vertices. In: Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 112 (2). pp. 257-281.
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Abstract
We explicitly determine all the two-dimensional weak pseudomanifolds on 8 vertices. We prove that there are (up to isomorphism) exactly 95 such weak pseudomanifolds,44 of which are combinatorial 2-manifolds. These 95 weak pseudomanifolds triangulate 16 topological spaces. As a consequence, we prove that there are exactly three 8-vertex two-dimensional orientable pseudomanifolds which allow degree three maps to the 4-vertex 2-sphere.
| Item Type: | Journal Article |
|---|---|
| Additional Information: | Copyright of this article belongs to Indian Academy of Sciencs. |
| Keywords: | Two-dimensional complexes;pseudomanifolds;degree of a map. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Mathematics |
| Date Deposited: | 22 Jul 2008 |
| Last Modified: | 19 Sep 2010 04:47 |
| URI: | http://eprints.iisc.ernet.in/id/eprint/15149 |
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