Abstract | ||
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We introduce the notion of primitive pseudo-manifolds and prove that all pseudo-manifolds (without boundary) are built out of the primitive ones by a canonical procedure. This theory is used to explicitly determine and count all the pseudo-manifolds of dimension d ⩾ 1 on at most d + 4 vertices. As a consequence, it turns out that their geometric realisations are either spheres or iterated suspensions of the real projective plane. |
Year | DOI | Venue |
---|---|---|
1998 | 10.1016/S0012-365X(97)00273-2 | Discrete Mathematics |
Keywords | Field | DocType |
structure theorem,57m15,57q15,projective plane | Real projective plane,Structured program theorem,Discrete mathematics,Blocking set,Combinatorics,Vertex (geometry),Non-Desarguesian plane,Pencil (mathematics),Projective plane,Mathematics,Projective space | Journal |
Volume | Issue | ISSN |
188 | 1-3 | Discrete Mathematics |
Citations | PageRank | References |
7 | 1.35 | 1 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Bhaskar Bagchi | 1 | 70 | 15.28 |
Basudeb Datta | 2 | 64 | 13.91 |