Results 21 to 30 of about 477 (60)
On topological structures of fuzzy parametrized soft sets [PDF]
In this paper, we introduce the topological structure of fuzzy parametrized soft sets and fuzzy parametrized soft mappings. We define the notion of quasi-coincidence for fuzzy parametrized soft sets and investigated basic properties of it.
Atmaca, Serkan, Zorlutuna, İdris
core +5 more sources
Paracompactness with respect to an ideal
An ideal on a set X is a nonempty collection of subsets of X closed under the operations of subset and finite union. Given a topological space X and an ideal ℐ of subsets of X, X is defined to be ℐ‐paracompact if every open cover of the space admits a locally finite open refinement which is a cover for all of X except for a set in ℐ.
T. R. Hamlett +2 more
wiley +1 more source
Basic properties of cl-supercontinuity, a strong variant of continuity, due to Reilly and Vamanamurthy [Indian J. Pure Appl. Math., 14 (1983), 767–772], who call such maps clopen continuous, are studied.
D. Singh
semanticscholar +1 more source
Application on local discrete expansion
The process of changing a topology by some types of its local discrete expansion preserves s‐closeness, S‐closeness, semi‐compactness, semi‐Ti, semi‐Ri, i ∈ {0, 1, 2}, and extremely disconnectness. Via some other forms of such above replacements one can have topologies which satisfy separation axioms the original topology does not have.
M. E. Abd El-Monsef +2 more
wiley +1 more source
On star Rothberger spaces modulo an ideal
In this article, we introduce the ideal star-Rothberger property by coupling the notion of a star operator to that of an ideal Rothberger space, after which some of its topological characteristics are analysed. By creating relationships between a numbers
Susmita Sarkar +2 more
doaj +1 more source
We present an example of a compact connected F-space with a continuous real-valued function f for which the union of the interiors of its fibers is not dense.
Hart, Klaas Pieter
core +1 more source
SOME PROPERTIES OF $\alpha$-OPEN SETS WITH RESPECT TO AN IDEAL
The aim of this paper is to introduce some types of compactness and connectedness in ideal topological spaces. We further study some properties of these types.
A. Nasef, Ahmed E. Radwan, R. Esmaeel
semanticscholar +1 more source
Perfect maps in compact (countably compact) spaces
In this paper, among other results, characterizations of perfect maps in compact Hausdorff(Fréchet, countably compact, Hausdorff) spaces are obtained.
G. L. Garg, Asha Goel
wiley +1 more source
COMPACT SPACES WITH RESPECT TO AN IDEAL
The aim of this paper is to study compactness modulo an ideal called I-compact spaces and discuss their properties. Some of the results in compact spaces have been generalized in terms of I-compact spaces.
A. Gupta, R. Kaur
semanticscholar +1 more source
Measures of Lindelof and separability in approach spaces
In this paper we introduce the notions of separability and Lindelöf in approach spaces and investigate their behaviour under products and subspaces.
R. Baekeland, R. Lowen
wiley +1 more source

