Results 31 to 40 of about 68 (65)
On Covering Prosperities via Neutrosophic e‐Open Set in Neutrosophic Topological Space
Journal of Mathematics, Volume 2026, Issue 1, 2026.This research presents and explores a novel category of compactness in neutrosophic topological spaces (NTSs), termed neutrosophic e‐compact and neutrosophic locally e‐compact. This category is positioned within the frameworks of neutrosophic δ‐semicompactness and neutrosophic δ‐precompactness, while also encompassing neutrosophic β‐compactness.
Wadei Al-Omeri, Ammar Alsinai
wiley +1 more source
A Characterization of Affine Primal Topological Spaces Induced by Nilpotent Matrices
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.In this article, we prove that an n × n matrix A is nilpotent if and only if there exists an affine primal topology τ for Rn such that the space Rn,τ is both compact and connected. For τ being an affine primal topology, we mean that τ=U⊂Rn:f−1U⊂U, where f:Rn⟶Rn is a map defined by f(x) = Ax + p, with p∈Rn.
Ebner Pineda +3 more
wiley +1 more source
A note on weakly θ‐continuous functions
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 1, Page 9-13, 1989., 1988 Recently a new class of functions between topological spaces, called weakly θ‐continuous functions, has been introduced and studied. In this paper we show how an appropriate change of topology on the domain of a weakly θ‐continuous function reduces it to a weakly continuous function. This paper examines some of the consequences of this result.
M. Mršević, I. L. Reilly
wiley +1 more source
Connectedness via Primal Topological Spaces With Applications of Primals to Rough Operators
Journal of Mathematics, Volume 2025, Issue 1, 2025.In topology, connectedness provides insight into how a space is “in one piece,” rather than being split into disjoint parts. Its significance can be seen through its various applications, such as understanding the nature of solutions to differential equations, the intermediate value theorem, and attaining a maximum and minimum for continuous real ...
Murad Özkoç +4 more
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 1, Page 205-207, 1988., 1986 Let f : X → Y be a continuous semigroup homomorphism. Conditions are given which will ensure that the semigroup X ∪ Y is a topological semigroup, when the modified Whyburn topology is placed on X ∪ Y.
Beth Borel Reynolds, Victor Schneider
wiley +1 more source
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article at hand, we employ the sharp operator to set up two novel operators via ideal topological spaces, namely, Δ‐operator and clΔ‐operators, and demonstrate how they interact with other ideas and properties. To prove some invalid relationships and further illustrate our discussion of some of their properties, we provide some elucidative ...
Murad Özkoç +4 more
wiley +1 more source
On resolvable and irresolvable spaces
, 1992 International Journal of Mathematics and Mathematical Sciences, Volume 16, Issue 4, Page 657-662, 1993.
Chandan Chattopadhyay +1 more
wiley +1 more source
Topological spaces satisfying a closed graph theorem
International audienceWe discuss topological versions of the closed graph theorem, where continuity is inferred from near continuity in tandem with suitable conditions on source or target spaces.
Noll, Dominikus
core +1 more source
New topologies derived from the old one via operators
Demonstratio MathematicaThe main purpose of this work is to study the ideal topology defined by the minimal and maximal ideals on a topological space. Also, we define and investigate the concepts of ideal quotient and annihilator of any subfamily of 2X{2}^{X}, where 2X{2}^{X ...
Issaka Faical Yacine, Özkoç Murad
doaj +1 more source
Between μ-b-open sets and μ-β-open sets in generalized topological spaces. [PDF]
Heliyon, 2023 Sarsak MS.
europepmc +1 more source