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- W583216776 abstract "Brehm and Kuhnel proved that if M-d is a combinatorial d-manifold with 3d/2 + 3 vertices and M-d is not homeomorphic to Sd then the combinatorial Morse number of M-d is three and hence d is an element of {0, 2, 4, 8, 16} and M-d is a manifold like a projective plane in the sense of Eells and Kuiper. We discuss the existence and uniqueness of such combinatorial manifolds. We also present the following result: ''Let M-n(d) be a combinatorial d-manifold with n vertices. M-n(d) satisfies complementarity if and only if d is an element of {0, 2, 4, 8, 16} with n = 3d/2 + 3 and M-n(d) is a manifold like a projective plane''." @default.
- W583216776 created "2016-06-24" @default.
- W583216776 creator A5044830402 @default.
- W583216776 date "2012-03-24" @default.
- W583216776 modified "2023-09-26" @default.
- W583216776 title "Minimal triangulation, complementarity and projective planes" @default.
- W583216776 doi "https://doi.org/10.1515/9783110908961.77" @default.
- W583216776 hasPublicationYear "2012" @default.
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