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JSYML
2010
69views more  JSYML 2010»
13 years 7 months ago
Topological properties of sets definable in weakly o-minimal structures
The paper is aimed at studying the topological dimension for sets definable in weakly o-minimal structures in order to prepare background for further investigation of groups, grou...
Roman Wencel
TRS
2008
14 years 10 days ago
Local and Global Approximations for Incomplete Data
Abstract. For completely specified decision tables lower and upper approximations are unique, the lower approximation is the largest definable set contained in the approximated set...
Jerzy W. Grzymala-Busse, Wojciech Rzasa
STOC
2007
ACM
108views Algorithms» more  STOC 2007»
15 years 23 days ago
Combinatorial complexity in O-minimal geometry
In this paper we prove tight bounds on the combinatorial and topological complexity of sets defined in terms of n definable sets belonging to some fixed definable family of sets i...
Saugata Basu