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BSL
2007
94views more  BSL 2007»
13 years 5 months ago
Descriptive Set Theory of Families of Small Sets
This is a survey paper on the descriptive set theory of hereditary families of closed sets in Polish spaces. Most of the paper is devoted to ideals and σ-ideals of closed or compa...
Étienne Matheron, Miroslav Zelený
ISMVL
2009
IEEE
161views Hardware» more  ISMVL 2009»
13 years 11 months ago
Mining Approximative Descriptions of Sets Using Rough Sets
Using concepts from rough set theory we investigate the existence of approximative descriptions of collections of objects that can be extracted from data sets, a problem of intere...
Dan A. Simovici, Selim Mimaroglu
APAL
2010
123views more  APAL 2010»
13 years 2 months ago
Classical descriptive set theory as a refinement of effective descriptive set theory
The (effective) Suslin-Kleene Theorem is obtained as a corollary of a standard proof of the classical Suslin Theorem, by noticing that it is mostly constructive and applying to it...
Yiannis N. Moschovakis
AML
2010
98views more  AML 2010»
13 years 5 months ago
Small universal families for graphs omitting cliques without GCH
When no single universal model for a set of structures exists at a given cardinal, then one may ask in which models of set theory does there exist a small family which embeds the r...
Katherine Thompson
PREMI
2007
Springer
13 years 11 months ago
Rough Set Theory of Pattern Classification in the Brain
Humans effortlessly classify and recognize complex patterns even if their attributes are imprecise and often inconsistent. It is not clear how the brain processes uncertain visual ...
Andrzej W. Przybyszewski