Title
A structure theorem for pseudomanifolds
Abstract
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 Bagchi17015.28
Basudeb Datta26413.91