Results 11 to 20 of about 244,971 (312)

On generalized topological molecular lattices [PDF]

Sahand Communications in Mathematical Analysis, 2018
In this paper, we introduce the concept of the generalized topological molecular lattices as a generalization of Wang's topological molecular lattices,  topological spaces, fuzzy topological spaces, L-fuzzy topological spaces and soft topological spaces.
Narges Nazari, Ghasem Mirhosseinkhani
doaj   +1 more source

The Ingenuity of Neutrosophic Topology via N-Topology [PDF]

Neutrosophic Sets and Systems, 2018
In this paper we desire to extend the neutrosophic topological spaces into N-neutrosophic topological spaces. Also we show that this theory can be deduced to N-intuitionistic and N-fuzzy topological spaces etc.
M. Lellis Thivagar, S. Jafari, V. Antonysamy, V. Sutha Devi   +3 more
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Convergence Classes of L-Filters in L,M-Fuzzy Topological Spaces

Journal of Mathematics, 2021
An L,M-fuzzy topological convergence structure on a set X is a mapping which defines a degree in M for any L-filter (of crisp degree) on X to be convergent to a molecule in LX.
Ting Yang, Sheng-Gang Li, William Zhu, Xiao-Fei Yang, Ahmed Mostafa Khalil   +4 more
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On Characterizations of ∗-Hyperconnected Ideal Topological Spaces

Journal of Mathematics, 2020
In the present paper, some characterizations of ∗-hyperconnected ideal topological spaces are investigated. Moreover, we introduce the notion of S∗-ℐ-hyperconnected ideal topological spaces.
Chawalit Boonpok
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On the Structure of Topological Spaces [PDF]

Axioms, 2022
The structure of topological spaces is analysed here through the lenses of fibrous preorders. Each topological space has an associated fibrous preorder and those fibrous preorders which return a topological space are called spatial. A special class of spatial fibrous preorders consisting of an interconnected family of preorders indexed by a unitary ...
openaire   +3 more sources

The non-existence of a universal topological type space [PDF]

, 2010
The concept of types was introduced by Harsányi[8]. In the literature there are two approaches for formalizing types, type spaces: the purely measurable and the topological models.
Aumann, Battigalli, Borceux, Brandenburger, Brandenburger, Böge, Dekel, Harsányi, Heifetz, Heifetz, Heifetz, Heifetz, Mertens, Metivier, Miklós Pintér, Pintér   +15 more
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Neutrosophic Vague Topological Spaces [PDF]

Neutrosophic Sets and Systems, 2019
The term topology was introduced by Johann Beredict Listing in the 19th century. Closed sets are fundamental objects in a topological space. In this paper, we use neutrosophic vague sets and topological spaces and we construct and develop a new concept
Mary Margaret A, Trinita Pricilla M, Shawkat Alkhazaleh   +2 more
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On the Weight of a Topological Space [PDF]

Proceedings of the American Mathematical Society, 1974
The main result in this paper states that the weight of a regular space is the product of three cardinal functions, namely the Lindelöf degree, the pluming degree, and the point separating weight.
openaire   +1 more source

A Study on Continuity functions in Neutro-Topological Spaces [PDF]

Neutrosophic Sets and Systems
The specific purpose of this study is to define continuity of mappings in neutro-topological spaces using neutro-open and neutro-closed sets and analyze the properties of continuous functions that are true in classical topological spaces in the neutro ...
Bhimraj Basumatary, Jeevan Krishna Khaklary   +1 more
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Ultrafilter convergence in ordered topological spaces [PDF]

, 2014
We characterize ultrafilter convergence and ultrafilter compactness in linearly ordered and generalized ordered topological spaces. In such spaces, and for every ultrafilter $D$, the notions of $D$-compactness and of $D$-pseudocompactness are equivalent.
Lipparini, Paolo
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