Let (X, T) be a topological space, and ∗X a non–standard extension of X. There is a natural “standard” topology ST on ∗X generated by ∗G,where G ∈ T . The topological space (∗X,ST) will be used to study, in a systematic way, compactifications of (X, T)
AbstractIn this paper, for a fixed infinite cardinal ν, we give the notion of a ν-core compact space...
AbstractNets are used to generalize a result of Murtinová and to define and study a class of propert...
The ηx-sets of Hausdorff have large compactifications (of cardinality ≽ exp(α); and of cardinality ≽...
We introduce a notion of topological extension of a given set X. The resulting class of topological ...
[EN] In this paper the nonstandard theory of uniform topological spaces isapplied with two main obje...
神奈川県茅ヶ崎市 Nonstandard analysis is introduced by Robinson that apply model theory to it. But nonstanda...
We introduce a notion of topological extension of a given set X. The resulting class of topological ...
AbstractWithin the framework of Zermelo–Fraenkel set theory ZF, we investigate the set-theoretical s...
Nonstandard topology on is a kind of topology constructed by means of nonstandard analysis on . The ...
Abstract: We use the insights of Robinson’s nonstandard analysis as a powerful tool to extend and si...
AbstractIt is known that the Stone–Čech compactification βX of a noncompact metrizable space X is ap...
AbstractWe show that an alleged theorem stated in a previous article by the author is invalid for ge...
We present Nonstandard Analysis by three axioms: the Extension, Transfer and Saturation Principles i...
AbstractThe concept of “category of structured sets with closure operator” provides a natural settin...
In this thesis some classical theorems of analysis are provided with non-standard proofs. In Chapter...
AbstractIn this paper, for a fixed infinite cardinal ν, we give the notion of a ν-core compact space...
AbstractNets are used to generalize a result of Murtinová and to define and study a class of propert...
The ηx-sets of Hausdorff have large compactifications (of cardinality ≽ exp(α); and of cardinality ≽...
We introduce a notion of topological extension of a given set X. The resulting class of topological ...
[EN] In this paper the nonstandard theory of uniform topological spaces isapplied with two main obje...
神奈川県茅ヶ崎市 Nonstandard analysis is introduced by Robinson that apply model theory to it. But nonstanda...
We introduce a notion of topological extension of a given set X. The resulting class of topological ...
AbstractWithin the framework of Zermelo–Fraenkel set theory ZF, we investigate the set-theoretical s...
Nonstandard topology on is a kind of topology constructed by means of nonstandard analysis on . The ...
Abstract: We use the insights of Robinson’s nonstandard analysis as a powerful tool to extend and si...
AbstractIt is known that the Stone–Čech compactification βX of a noncompact metrizable space X is ap...
AbstractWe show that an alleged theorem stated in a previous article by the author is invalid for ge...
We present Nonstandard Analysis by three axioms: the Extension, Transfer and Saturation Principles i...
AbstractThe concept of “category of structured sets with closure operator” provides a natural settin...
In this thesis some classical theorems of analysis are provided with non-standard proofs. In Chapter...
AbstractIn this paper, for a fixed infinite cardinal ν, we give the notion of a ν-core compact space...
AbstractNets are used to generalize a result of Murtinová and to define and study a class of propert...
The ηx-sets of Hausdorff have large compactifications (of cardinality ≽ exp(α); and of cardinality ≽...
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