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A representation of convex semilinear sets.
- Source :
-
Algebra Universalis . Feb2010, Vol. 62 Issue 2/3, p289-327. 39p. - Publication Year :
- 2010
-
Abstract
- If F is an ordered field, a subset of n-space over F is said to be semilinear just in case it is a finite Boolean combination of translates of closed halfspaces, where a closed halfspace is the set of all points obeying a homogeneous weak linear inequality with coefficients from F. Andradas, Rubio, and Vélez have shown that closed (open) convex semilinear sets are finite intersections of translates of closed (open) halfspaces (an open halfspace is defined as before, but with a strict inequality). This paper represents arbitrary convex semilinear sets in a manner analogous to that of Andradas, Rubio, and Vélez. [ABSTRACT FROM AUTHOR]
- Subjects :
- *SET theory
*CONVEX functions
*MATHEMATICS
*BOOLEAN algebra
Subjects
Details
- Language :
- English
- ISSN :
- 00025240
- Volume :
- 62
- Issue :
- 2/3
- Database :
- Academic Search Index
- Journal :
- Algebra Universalis
- Publication Type :
- Academic Journal
- Accession number :
- 51625207
- Full Text :
- https://doi.org/10.1007/s00012-010-0056-5