ON THE CONNECTED COMPONENTS OF THE SPACE OF LINE TRANSVERSALS TO A FAMILY OF CONVEX-SETS

Authors
GOODMAN JE POLLACK R WENGER R
Citation
Je. Goodman et al., ON THE CONNECTED COMPONENTS OF THE SPACE OF LINE TRANSVERSALS TO A FAMILY OF CONVEX-SETS, Discrete & computational geometry, 13(3-4), 1995, pp. 469-476
Citations number
5
Categorie Soggetti
Computer Sciences, Special Topics","Mathematics, General","Computer Science Theory & Methods",Mathematics
Journal title
Discrete & computational geometry → ACNP
ISSN journal
01795376
Volume
13
Issue
3-4
Year of publication
1995
Pages
469 - 476
Database
ISI
SICI code
0179-5376(1995)13:3-4<469:OTCCOT>2.0.ZU;2-R
Abstract
Let L be the space of line transversals to a finite family of pairwise disjoint compact convex sets in R(3). We prove that each connected co mponent of L can itself be represented as the space of transversals to some finite family of pairwise disjoint compact convex sets.