Results 21 to 30 of about 52 (51)

New Continuity Concepts With Usual, Semi, and Semi‐ω‐Closure Operators

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, we introduce new forms of continuity, namely, weakly θs‐continuity, weakly θsω‐continuity, almost θs‐continuity, and almost θsω‐continuity defined via closure operators. These concepts bridge the gap between classical and weak continuity and provide new insights into their relationships.
Kushal Singh, Asha Gupta, Pramita Mishra
wiley   +1 more source

Weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions [PDF]

open access: yes, 2019
The purpose of the present paper is to introduce, study and characterize upper and lower weakly (I, J)-continuous multifunctions and contra (I, J)-continuous multifunctions.
Rosas Rodriguez, Ennis Rafael   +3 more
core  

Striking differences between ZF and ZF+ weak choice in view of metric spaces

open access: yes, 2004
unavailable at this time...Mathematics Subject Classification (2000): 03E25, 54A25, 54C05, 54C05, 54C25, 54D20, 54E35 Quaestiones Mathematicae 25 (2002), 405 ...
Keremedis, Kyriakos   +2 more
core  

© Hindawi Publishing Corp. MAGILL-TYPE THEOREMS FOR MAPPINGS

open access: yes, 2002
Magill’s and Rayburn’s theorems on the homeomorphism of Stone-Čech remainders and some of their generalizations to the remainders of arbitrary Hausdorff compactifications of Tychonoff spaces are extended to some class of mappings.
Boris A. Pasynkov, Giorgio Nordo
core  

Fibrewise Near Compact and Locally Near Compact Spaces

open access: yes, 2013
In this paper we define and study new concepts of fibrewise topological spaces over B namely, fibrewise near compact and fibrewise locally near compact spaces, which are generalizations of well-known concepts near compact and locally near compact ...
Yousif, Y. Y.   +2 more
core  

A. A. El-Atik ∗ and Arafa A. Nasef ON ALMOST CO-F-CLOSED TOPOLOGIES AND THEIR APPLICATIONS

open access: yes, 2014
. In this paper, we investigate more properties of the notion of co-F-closed topologies which was introduced by Abo Khadra and Nasef [1]. Several results which have appeared in [5] are expanded and improved.

core  

Two point-picking games derived from a property of function spaces

open access: yes, 2018
We present a study of two versions of the point-picking game defined by Berner and Juhasz. Given a space X there are two rivals O and P who take turns playing on X. In the n-th round Player O takes a non-empty open subset Un of the space X and P responds
Tkachuk, Vladimir V.
core  

Frolik decompositions for lattice-ordered groups

open access: yes, 2018
Frolik's theorem says that a homeomorphism from a certain kind of topological space to itself decomposes the space into the clopen set of xed points together with three clopen sets, each of whose images is disjoint from the original set.
Redfield, R.H., Buskes, Gerard
core  

On countably uniform closed-spaces

open access: yes, 2019
Let X be a topological space and Cc(X) be the functionally countable subalgbera of C(X). We call X to be a countably uniform closed-space, brie y, a CUC-space, if Cc(X) is closed under uniform convergence. We investigate that countably uniform closedness
Namdari, M, Paimann, M, Hayati, A
core  

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