On scattered convex geometries

dc.contributor.author	Adaricheva, Kira
dc.contributor.author	Pouzet, Maurice
dc.date.accessioned	2016-02-09T10:09:36Z
dc.date.available	2016-02-09T10:09:36Z
dc.date.issued	2015
dc.description.abstract	A convex geometry is a closure space satisfying the anti-exchange axiom. For several types of algebraic convex geometries we describe when the collection of closed sets is order scattered, in terms of obstructions to the semilattice of compact elements. In particular, a semilattice ( ), that does not appear among minimal obstructions to order-scattered algebraic modular lattices, plays a prominent role in convex geometries case. The connection to topological scatteredness is established in convex geometries of relatively convex sets	ru_RU
dc.identifier.citation	Adaricheva Kira, Pouzet Maurice; 2015; On scattered convex geometries; arXiv.org	ru_RU
dc.identifier.uri	http://nur.nu.edu.kz/handle/123456789/1217
dc.language.iso	en	ru_RU
dc.rights	Attribution-NonCommercial-ShareAlike 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-sa/3.0/us/	*
dc.subject	Research Subject Categories::MATHEMATICS	ru_RU
dc.subject	convex geometries	ru_RU
dc.title	On scattered convex geometries	ru_RU
dc.type	Article	ru_RU