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A characterization of semilinear sets

โœ Scribed by L.Y. Liu; P. Weiner

Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
372 KB
Volume
4
Category
Article
ISSN
0022-0000

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โœฆ Synopsis

In this report, the class of semilinear sets is shown to be the least class of sets which contains all of the stratified semilinear sets and is closed under finite intersection.

๐Ÿ“œ SIMILAR VOLUMES

Every semilinear set is a finite union o
Every semilinear set is a finite union of disjoint linear sets
โœ Ryuichi Ito ๐Ÿ“‚ Article ๐Ÿ“… 1969 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 436 KB

We prove in this paper that every semilinear set is a finite union of disjoint linear sets, using elementary combinatorial-topological lemmas. This paper gives a positive answer to an open problem proposed by Seymour Ginsburg in his book ([2], p. 195). Let N denote the nonnegative integers and R d

Geometric properties of semilinear and s
Geometric properties of semilinear and semibounded sets
โœ Jana Maล™รญkovรก ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 195 KB

## MSC (2000) 03C64 We calculate the universal Euler characteristic and universal dimension function on semilinear and semibounded sets and obtain some criteria for definable equivalence of semilinear and semibounded sets in terms of these invariants.

The Global Solution Set for a Class of S
The Global Solution Set for a Class of Semilinear Problems
โœ Philip Korman ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 224 KB

We use bifurcation theory to study positive, negative, and sign-changing solutions for several classes of boundary value problems, depending on a real parameter . We show the existence of infinitely many points of pitchfork bifurcation, and study global properties of the solution curves.