Results 181 to 190 of about 5,551 (211)

Modal compact Hausdorff spaces

Journal of Logic and Computation, 2012
We introduce modal compact Hausdorff spaces as generalizations of modal spaces, and show these are coalgebras for the Vietoris functor on compact Hausdorff spaces. Modal compact regular frames and modal de Vries algebras are introduced as algebraic counterparts of modal compact Hausdorff spaces, and dualities are given for the categories involved ...
Guram Bezhanishvili, Nick Bezhanishvili, John Harding   +2 more
openaire   +2 more sources

Compact Hausdorff Spaces with Relations and Gleason Spaces

Applied Categorical Structures, 2019
The category of compact Hausdorff spaces and continuous functions has several well-known (dual) equivalences, among them Isbell duality with compact regular frames and de Vries duality with de Vries algebras. The former has already been extended from continuous functions to closed relations, which involves generalizing from frame to preframe ...
Guram Bezhanishvili, David Gabelaia, John Harding, Mamuka Jibladze   +3 more
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On Countable Products of Finite Hausdorff Spaces

MLQ, 2000
It is well known that Tikhonov's product theorem and the Axiom of Choice are equivalent propositions. This paper presents further (localized) versions of this for countable families of finite sets (with the discrete topology). The Axiom of Choice for such families is equivalent to Tikhonov's theorem for them and to the Baire Category theorem for their ...
Horst Herrlich, Kyriakos Keremedis
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A Homotopy 2-Groupoid of a Hausdorff Space

Applied Categorical Structures, 2000
For each Hausdorff space \(X\), the authors construct a 2-groupoid whose objects are the points of \(X\) and whose morphisms are equivalence classes of paths in \(X\) under a relation called thin relative homotopy. There is an isomorphism between the 2-endomorphism group of \(\langle f\rangle\) and the second homotopy group of \(X\) based at the ...
Kamps, Klaus Heiner, Hardie, K.a., Kieboom, Rudger   +2 more
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Essential extensions of Hausdorff spaces

Applied Categorical Structures, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Hausdorff operator on Morrey spaces and Campanato spaces

Czechoslovak Mathematical Journal, 2019
The most widespread way for the study of Hausdorff operators is establishing conditions for their boundedness in various spaces, as well as searching for the sharpness of such conditions. In this paper, such problems are discussed for multidimensional Hausdorff operators on the Morrey space and on the Campanato space.
Ruan, Jianmiao, Fan, Dashan, Li, Hongliang   +2 more
openaire   +1 more source

The Hausdorff-Ershov Hierarchy in Euclidean Spaces

Archive for Mathematical Logic, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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HAUSDORFF NEARNESS SPACES

Quaestiones Mathematicae, 1979
Abstract A categorical characterization of the category Haus of Hausdorft topological spaces within the category Top of topological spaces is given. A notion of a Hausdorff nearness space is then introduced and it is proved that the resulting subcategory Haus Near of the category Near of nearness spaces fulfills exactly the same characterization as ...
openaire   +1 more source

On the Completing of a Hausdorff Space

The Annals of Mathematics, 1937
openaire   +2 more sources

Generalized G-Hausdorff space and applications in fractals

Chaos, Solitons and Fractals, 2023
Saurabh Kumar Katiyar, Kifayat Ullah
exaly