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# Non-existence of 6-dimensional pseudomanifolds with complementarity

Bagchi, Bhaskar and Datta, Basudeb (2004) Non-existence of 6-dimensional pseudomanifolds with complementarity. In: Advances in Geometry, 4 (4). pp. 537-550.

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## Abstract

Abstract. In a previous paper ([10]) the second author showed that if M is a pseudomanifold with complementarity other than the 6-vertex real projective plane and the 9-vertex complex projective plane, then M must have dimension \ge 6, and-in case of equality-M must have exactly 12 vertices. In this paper we prove that such a 6-dimensional pseudomanifold does not exist. On the way to proving our main result we also prove that all combinatorial triangulations of the 4-sphere with at most 10 vertices are combinatorial 4-spheres.

Item Type: Journal Article Copyright of this article belongs to de Gruyter. pseudomanifolds;combinatorial triangulations;collapsible simplicial complexes;complementarity;piecewise-linear manifolds Division of Physical & Mathematical Sciences > Mathematics 20 Feb 2008 19 Sep 2010 04:18 http://eprints.iisc.ernet.in/id/eprint/2708

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