Sets In Topological Spaces Research Articles

On α∗ –Open Sets in Topological Spaces

In this paper, we introduce a new kind of an α – open sets which is called an α∗ – open sets. Also, we study and discuss some of it’s properties and compare this new notion with some other classes of sets. Moreover, some characterizations, remarks, and counterexamples are given in this work.

Bitopological Spaces of Ultrafilters and Maximal Linked Systems

Issues of the structure of spaces of ultrafilters and maximal linked systems are studied. We consider a widely understood measurable space (a π-system with zero and one) defined as follows: we fix a nonempty family of subsets of a given set closed under finite intersections and containing the set itself (“one”) and the empty set (“zero”). Ultrafilters (maximal filters) and maximal linked systems are constructed on this space. Each of the obtained spaces is equipped with a pair of comparable topologies. The resulting bitopological spaces turn out to be consistent in the following sense: each space of ultrafilters is a subspace of the corresponding space of maximal linked systems. Moreover, the space of maximal linked systems with a Wallman-type topology is supercompact and, in particular, compact. Possible variants of a π-system are lattices, semialgebras and algebras of sets, topologies, and families of closed sets of topological spaces.

On g*ω Closed Sets in Topological Spaces

On g*ω Closed Sets in Topological Spaces

On Minimal λ_gc-Open Sets

In this paper, we defined -open set by using s-operation and -closed set, then by using -open set, we define -closed set. In addition we define -closure of subset of ( ) and -interior of subset of by using -closed set and -open set respectively. Furthermore we introduce and discuss minimal -open sets in topological spaces. We establish some basic properties of minimal -open. We obtain an application of a theory of minimal -open sets and define a -locally finite space then we prove, Let be a -locally finite space and a nonempty -open set. Then there exists at least one (finite) minimal -open set such that where is semi-regular.

On gso-Closed Sets in Topological Spaces

On gso-Closed Sets in Topological Spaces

On Maximal and Minimal Sets in Topological Spaces

In this paper, we examine new classes of sets in topological spaces that are called maximal and minimal sets. Their relations are introduced and studied. Also, a recent class of functions has been found in topological spaces which use maximal and minimal sets. In addition, maximal and minimal sets are independent; the maximal and minimal sets cannot be equivalent under any conditions.

On Disjoint Stationary Sets in Topological Spaces

On Disjoint Stationary Sets in Topological Spaces

$^{^{#}}$GSP closed sets in topological spaces

$^{^{#}}$GSP closed sets in topological spaces

Ii - open sets in topological spaces

ii - open sets in topological spaces

On Regular Generalized $delta$-closed Sets in Topological Spaces

In this paper a new class of sets called regular generalized $delta$-closed set (briefly rg$delta$-closed set)is introduced and its properties are studied. Several examples are provided to illustrate the behaviour of these new class of sets.

Strong Semiclosed Sets in Topological Spaces

Strong Semiclosed Sets in Topological Spaces

δ * - Closed sets in Topological Spaces

δ * - Closed sets in Topological Spaces

Alpha Weakly Semi Closed Sets in Topological Spaces

Alpha Weakly Semi Closed Sets in Topological Spaces

On (gg)*- Closed Sets in Topological Spaces

On (gg)*- Closed Sets in Topological Spaces

Sgp-Locally Closed Sets in Topological Spaces

sgp-Locally Closed Sets in Topological Spaces

Decision-Making via Neutrosophic Support Soft Topological Spaces

The concept of interval neutrosophic sets has been studied and the introduction of a new kind of set in topological spaces called the interval valued neutrosophic support soft set has been suggested. We study some of its basic properties. The main purpose of this paper is to give the optimum solution to decision-making in real life problems the using interval valued neutrosophic support soft set.

English

English

Decision-Making via Neutrosophic Support Soft Topological Spaces

The concept of interval neutrosophic sets has been studied and the introduction of a new kind of set in topological spaces called the interval valued neutrosophic support soft set has been suggested. We study some of its basic properties. The main purpose of this paper is to give the optimum solution to decision-making in real life problems the using interval valued neutrosophic support soft set.

On Minimal λbc-Open Sets

In this paper, we introduce and discuss minimal -open sets in topological spaces. Weestablish some basic properties of minimal -open. We obtain an application of atheory of minimal -open sets and we defined a -locally finite space.

On Minimal -Open Sets

In this paper, we introduce and discuss minimal -open sets in topological spaces. Weestablish some basic properties of minimal -open. We obtain an application of atheory of minimal -open sets and we defined a -locally finite space.