Results 21 to 30 of about 52 (51)
New Continuity Concepts With Usual, Semi, and Semi‐ω‐Closure Operators
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]
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
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
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
Exception Sets of Intrinsic and Piecewise Lipschitz Functions. [PDF]
Leobacher G, Steinicke A.
europepmc +1 more source
Fibrewise Near Compact and Locally Near Compact Spaces
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
. 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
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
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
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

