On new structure of <i>N</i>-topology

Thivagar, M. Lellis; Ramesh, Venkateswari; Dasan, M. Arockia

doi:10.1080/23311835.2016.1204104

Cited by 11 publications

(4 citation statements)

References 2 publications

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“…Neutrosophic topological spaces (nts's) presented by Salama and Alblowi [10]. Lellies Thivagar et al [8] was given the geometric existence of N topology, which is a non-empty set equipped with N arbitrary topologies. Lellis Thivagar et al [9] introduced the notion of Nn-open (closed) sets in N neutrosophic crisp topological spaces.…”

Section: Introductionmentioning

confidence: 99%

Nnc Z∗-open sets in Nnc Topological Spaces

Al¹

2021

TURCOMAT

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Section: Introductionmentioning

confidence: 99%

Nnc Z∗-open sets in Nnc Topological Spaces

Al¹

2021

TURCOMAT

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“…Lellies Thivagar et.al. [12] was given the geometric existence of N topology, which is a non-empty set equipped with N arbitrary topologies. Lellis Thivagar et al [13] introduced the notion of Nn-open (closed) sets and Nn topological spaces.…”

Section: Introductionmentioning

confidence: 99%

Characterizations of Nnce-open and Nnce-closed Functions

al.¹

2021

TURCOMAT

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The purpose of this paper is to introduce and investigate several new classes of functions called, Nnce-open and Nnce-closed functions in Nnc topological spaces by using the concept of Nnce-open sets. Several new characterizations and fundamental properties concerning of these new types of functions are obtained. Furthermore, these kinds of functions have strong application in the area of image processing and have very important applications in quantum particle physics, high energy physics and superstring theory

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“…Following this generalization, the idea of utilizing two or more GTs to form a new type of topological space were deeply explored in many succeeding studies. Some of these results are seen in [5], [8], [9], [10], [12], [13], [14], [15], [16], [17], and [19]. In particular, an n-generalized topological space (briefly, n-GT space) is defined in [2] as a pair (X, G ), where X is a nonempty set and G = {µ 1 , .…”

Section: Introductionmentioning

confidence: 99%

Functions on $n$-generalized Topological Spaces

Balingit

Benitez

2019

Eur. J. Pure Appl. Math.

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An $n$-generalized topological ($n$-GT) space is a pair $(X,\mathscr{G})$ of a nonempty set $X$ and a collection $\mathscr{G}$ of $n$ $(n\in\mathbb{N})$ distinct generalized topologies (in the sense of A. Cs\'{a}sz\'{a}r [1]) on the set $X$. In this paper, we look into $\mathscr{G}$-continuous maps, $\mathscr{G}$-open and $\mathscr{G}$-closed maps, as well as $\mathscr{G}$-homoemorphisms in terms of $n$-GT spaces and establish some of their basic properties and relationships. Moreover, these notions are also examined with respect to the component generalized topologies of the underlying spaces by defining and characterizing pairwise versions of the said types of mappings.

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On new structure of N-topology

Cited by 11 publications

References 2 publications

Nnc Z∗-open sets in Nnc Topological Spaces

Nnc Z∗-open sets in Nnc Topological Spaces

Characterizations of Nnce-open and Nnce-closed Functions

Functions on $n$-generalized Topological Spaces

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