Add to ORKG71 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2010.For a compact metric space E, Solecki has defined a broad natural class of Gdelta ideals of compact sets on E, called Gdelta ideals with property (*), and has shown that any ideal I in this class can be represented through the ideal of nowhere dense subsets of a closed subset F of the hyperspace of compact subsets of E. In this thesis we show that the closed set F in this representation can be taken to be closed upwards, i.e., it contains the compact supersets of its members. We examine the behaviour of Gdelta subsets of E with respect to the representing sets of I; we formulate a conjecture and prove it for several classes of ideals.U of I OnlyRestricted to the U...
Abstract: The concept of soft ideal was first introduced by Kandil et al. [13]. In 1999, Molodtsov [...
AbstractWe recall from [T. Mátrai, Kenilworth, Proc. Amer. Math. Soc. 137 (3) (2009) 1115–1125] a Gδ...
-open sets were introduced and studied by Jankovic ́ and Hamlett (1990) to generalize the well-known...
71 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2010.For a compact metric space E, ...
For a compact metric space E, Solecki has defined a broad natural class of G-delta ideals of compact...
summary:Solecki has shown that a broad natural class of $G_{\delta}$ ideals of compact sets can be r...
Abstract. We prove that there is a Gδ σ-ideal of compact sets which is strictly above NWD in the Tuk...
We present here a survey of the definability theory of σ-ideals of closed sets in compact metric spa...
AbstractWe prove that there is a Gδσ-ideal of compact sets which is strictly above NWD in the Tukey ...
Some results on the descriptive set theory of σ-Ideals of compact sets.Uzcátegui Aylwin, Carlos Enri...
summary:It is well-known that compacta (i.e. compact Hausdorff spaces) are maximally resolvable, tha...
Abstract. In this paper, concepts of various forms of dense sets and nowhere dense sets in generaliz...
A soft ideal on a non empty set X is a non empty collection of soft subsets of X with heredity prope...
Abstract. In ideal topological spaces,?-dense in itself subsets are used to characterize ideals and ...
In this paper, we consider the ideal I¾ generated by all ¾-nowhere dense sets in a topological space...
Abstract: The concept of soft ideal was first introduced by Kandil et al. [13]. In 1999, Molodtsov [...
AbstractWe recall from [T. Mátrai, Kenilworth, Proc. Amer. Math. Soc. 137 (3) (2009) 1115–1125] a Gδ...
-open sets were introduced and studied by Jankovic ́ and Hamlett (1990) to generalize the well-known...
71 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2010.For a compact metric space E, ...
For a compact metric space E, Solecki has defined a broad natural class of G-delta ideals of compact...
summary:Solecki has shown that a broad natural class of $G_{\delta}$ ideals of compact sets can be r...
Abstract. We prove that there is a Gδ σ-ideal of compact sets which is strictly above NWD in the Tuk...
We present here a survey of the definability theory of σ-ideals of closed sets in compact metric spa...
AbstractWe prove that there is a Gδσ-ideal of compact sets which is strictly above NWD in the Tukey ...
Some results on the descriptive set theory of σ-Ideals of compact sets.Uzcátegui Aylwin, Carlos Enri...
summary:It is well-known that compacta (i.e. compact Hausdorff spaces) are maximally resolvable, tha...
Abstract. In this paper, concepts of various forms of dense sets and nowhere dense sets in generaliz...
A soft ideal on a non empty set X is a non empty collection of soft subsets of X with heredity prope...
Abstract. In ideal topological spaces,?-dense in itself subsets are used to characterize ideals and ...
In this paper, we consider the ideal I¾ generated by all ¾-nowhere dense sets in a topological space...
Abstract: The concept of soft ideal was first introduced by Kandil et al. [13]. In 1999, Molodtsov [...
AbstractWe recall from [T. Mátrai, Kenilworth, Proc. Amer. Math. Soc. 137 (3) (2009) 1115–1125] a Gδ...
-open sets were introduced and studied by Jankovic ́ and Hamlett (1990) to generalize the well-known...