We investigate generalizations of the topology of the higher Cantor space on 2κ, based on arbitrary ideals rather than the bounded ideal on κ. Our main focus is on the topology induced by the nonstationary ideal, and we call this topology the nonstationary topology, or also the Edinburgh topology on 2κ
With interesting topological properties, the Cantor set is worth studying for itself. In other areas...
Abstract. We show that the reduced cofinality of the nonstationary ideal NSκ on a regular uncountabl...
This talk is themed around the idea that stratifications are a powerful source of correspondences be...
In this thesis we study the topologies formed by a modification of some given topology using ideals ...
An approach is followed here to generate a new topology on a set from an ideal ℐ and a family of s...
In this paper, we consider the ideal Iσ generated by all σ-nowhere dense sets in a topological space...
In this paper, we consider the ideal I_σ generated by all σ-nowhere dense sets in a topological spac...
Let E be a non-empty set and let T be a topology on E. We denote by the symbol K(T) the σ-ideal of a...
Abstract. We prove that there is a Gδ σ-ideal of compact sets which is strictly above NWD in the Tuk...
Abstract. We define and investigate some new ideals of subsets of the Cantor space and the Baire spa...
We consider for any topologies τ1 ⊆ τ2 the ideal of sets A such that for each nonempty U ∈ τ2 there ...
In this book the authors for the first time introduce a new type of topological spaces called the se...
The notion of topologies, introduced by Stephani[10], is useful for studying the injective hull of a...
We prove some results in set theory as applied to general topology and model theory. In particular, ...
It will be shown that every minimal Cantor set can be obtained as a projective limit of directed gra...
With interesting topological properties, the Cantor set is worth studying for itself. In other areas...
Abstract. We show that the reduced cofinality of the nonstationary ideal NSκ on a regular uncountabl...
This talk is themed around the idea that stratifications are a powerful source of correspondences be...
In this thesis we study the topologies formed by a modification of some given topology using ideals ...
An approach is followed here to generate a new topology on a set from an ideal ℐ and a family of s...
In this paper, we consider the ideal Iσ generated by all σ-nowhere dense sets in a topological space...
In this paper, we consider the ideal I_σ generated by all σ-nowhere dense sets in a topological spac...
Let E be a non-empty set and let T be a topology on E. We denote by the symbol K(T) the σ-ideal of a...
Abstract. We prove that there is a Gδ σ-ideal of compact sets which is strictly above NWD in the Tuk...
Abstract. We define and investigate some new ideals of subsets of the Cantor space and the Baire spa...
We consider for any topologies τ1 ⊆ τ2 the ideal of sets A such that for each nonempty U ∈ τ2 there ...
In this book the authors for the first time introduce a new type of topological spaces called the se...
The notion of topologies, introduced by Stephani[10], is useful for studying the injective hull of a...
We prove some results in set theory as applied to general topology and model theory. In particular, ...
It will be shown that every minimal Cantor set can be obtained as a projective limit of directed gra...
With interesting topological properties, the Cantor set is worth studying for itself. In other areas...
Abstract. We show that the reduced cofinality of the nonstationary ideal NSκ on a regular uncountabl...
This talk is themed around the idea that stratifications are a powerful source of correspondences be...
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