Datta, Basudeb (1994) Combinatorial manifolds with complementarity Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 104 (2). pp. 385-388. ISSN 0253-4142
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Official URL: http://www.ias.ac.in/j_archive/mathsci/104/2/385-3...
Related URL: http://dx.doi.org/10.1007/BF02863418
Abstract
A simplicial complex is said to satisfy complementarity if exactly one of each complementary pair of nonempty vertex-sets constitutes a face of the complex. We show that if a d-dimensional combinatorial manifold M with n vertices satisfies complementarity then d=0, 2, 4, 8, or 16 with n=3d/2+3 and |M| is a "manifold like a projective plane". Arnoux and Marin had earlier proved the converse statement.
Item Type: | Article |
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Source: | Copyright of this article belongs to Indian Academy of Sciences. |
Keywords: | Combinatorial Manifolds; Complementarity |
ID Code: | 22347 |
Deposited On: | 23 Nov 2010 13:00 |
Last Modified: | 17 May 2016 06:24 |
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