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.
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|
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