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$T_{2}$ and $T_{3}$ objects at $p$ in the category of proximity spaces

Muammer Kula, Samed Özkan (2020)

Mathematica Bohemica

In previous papers, various notions of pre-Hausdorff, Hausdorff and regular objects at a point $p$ in a topological category were introduced and compared. The main objective of this paper is to characterize each of these notions of pre-Hausdorff, Hausdorff and regular objects locally in the category of proximity spaces. Furthermore, the relationships that arise among the various $Pre T_{2}$ , $T_{i}$ , $i = 0, 1, 2, 3$ , structures at a point $p$ are investigated. Finally, we examine the relationships between the generalized separation...

$T_{2}$ -frames and almost compact frames

Jan Paseka, Bohumil Šmarda (1992)

Czechoslovak Mathematical Journal

$T_{2}$ -separation axioms on frames

Jan Paseka (1987)

Acta Universitatis Carolinae. Mathematica et Physica

$T_{3}$ -completions of convergence vector spaces

Müller, Bernd (1977)

General topology and its relations to modern analysis and algebra IV

$T$ -catégories (catégories dans un triple)

Albert Burroni (1971)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

$t^{*}$ -Fuzzy topological concepts

Macho Stadler, M., Prada Vicente, M.A. de (1992)

Portugaliae mathematica

$T_{i}$ - pairwise continuous functions and bitopological separation axioms

M. Jelić (1989)

Matematički Vesnik

$T$ -neighborhood groups.

Ahsanullah, T.M.G., Al-Thukair, Fawzi (2004)

International Journal of Mathematics and Mathematical Sciences

$T$ -stability of Picard iteration in metric spaces.

Qing, Yuan, Rhoades, B.E. (2008)

Fixed Point Theory and Applications [electronic only]

$T_{(α, β)}$ -spaces and the Wallman compactification.

Belaid, Karim, Echi, Othman, Lazaar, Sami (2004)

International Journal of Mathematics and Mathematical Sciences

Tanaka spaces and products of sequential spaces

Yoshio Tanaka (2007)

Commentationes Mathematicae Universitatis Carolinae

We consider properties of Tanaka spaces (introduced in Mynard F., More on strongly sequential spaces, Comment. Math. Univ. Carolin. 43 (2002), 525–530), strongly sequential spaces, and weakly sequential spaces. Applications include product theorems for these types of spaces.

Tangency relations for sets in some classes in generalized metric spaces

Tadeusz Konik (1998)

Mathematica Slovaca

Tangent mappings and convergent sequences in the Lipschitz category

Daniel M. Hyman (1989)

Revista colombiana de matematicas

T-categories and some representation theorems

Bentley, H.L. (1973)

Portugaliae mathematica

Teilfolgen gleichverteilter Folgen.

V. Losert, H. Rindler (1978)

Journal für die reine und angewandte Mathematik

Tensor products in the category of convergence spaces

Jan Pavelka (1972)

Commentationes Mathematicae Universitatis Carolinae

Tensor products in the category of topological spaces

Juraj Činčura (1979)

Commentationes Mathematicae Universitatis Carolinae

Tensor products with bounded continuous functions.

Williams, Dana P. (2003)

The New York Journal of Mathematics [electronic only]

Terminal continua and the homogeneity

T. Maćkowiak (1987)

Fundamenta Mathematicae

Tests à la Hurewicz dans le plan

Dominique Lecomte (1998)

Fundamenta Mathematicae

Nous donnons, pour une certaine catégorie de boréliens d'un produit de deux espaces polonais, comprenant les boréliens à coupes dénombrables, une caractérisation du type "test d'Hurewicz" de ceux ne pouvant pas être rendus différence transfinie d'ouverts par changement des deux topologies polonaises.

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