Results 21 to 30 of about 43,488 (132)

The Neutrosophization of δ-Separation Axioms

Symmetry
Fuzzy topology has long been celebrated for its ability to address real-world challenges in areas such as information systems and decision making. However, with ongoing technological advancements and the increasing complexity of practical requirements, the focus has gradually shifted toward neutrosophic topology, a broader and more inclusive framework ...
Ahu Açikgöz, Ferhat Esenbel, Abdulhamit Maman, Seher Zorlu   +3 more
openaire   +1 more source

Lipschitz functions on topometric spaces

, 2013
We study functions on topometric spaces which are both (metrically) Lipschitz and (topologically) continuous, using them in contexts where, in classical topology, ordinary continuous functions are used.
Yaacov, Itaï Ben
core   +2 more sources

Λr -sets and separation axioms [PDF]

, 2011
Separation axioms are among the most common and important and interesting concepts in topology as well as in bitopologies. In this paper, we introduce Λr-sets and some weak separation axioms using Λr -open sets and Λr -closure ...
Jeyanthi, M. J., Kilicman, Adem, Missier, S. Pious, Thangavelu, Periannan   +3 more
core  

Separation axioms and subcategories of top [PDF]

Journal of the Australian Mathematical Society, 1976
Abstract(Point, closed subset)-separation axioms and closed subsets separation axioms for topological spaces will be uniformly defined. Then it is shown that a subcategory of TOP is bireflective in TOP if and only if Ob consists of all separated spaces for some (point, closed subset)-separation axiom.
openaire   +2 more sources

FUZZY MINIMAL SEPARATION AXIOMS

Journal of Nonlinear Sciences and Applications, 2010
In this paper, we deal with some separation axioms in the context of fuzzy minimal structures.
EKİCİ, ERDAL, Roohi, M., Jafari, S., Alimohammady, M.   +3 more
openaire   +3 more sources

Topological Semantics and Decidability [PDF]

, 2007
It is well-known that the basic modal logic of all topological spaces is $S4$. However, the structure of basic modal and hybrid logics of classes of spaces satisfying various separation axioms was until present unclear. We prove that modal logics of $T_0$
Sustretov, Dmitry
core   +6 more sources

Physical Logic

, 2017
In R.D. Sorkin's framework for logic in physics a clear separation is made between the collection of unasserted propositions about the physical world and the affirmation or denial of these propositions by the physical world.
D. Greenberger, J. Bell, J.B. Hartle, L. Carroll, N. Mermin, N. Mermin, N. Rescher, R. Sorkin, R. Sorkin, S. Kochen   +9 more
core   +1 more source

On Separation Axioms

Journal of Advanced Studies in Topology, 2011
\(T_{2{\frac{1}{2}}}\)-spaces and \(T_{4_{\frac{1}{2}}}\)-spaces are mentioned in [1]. The paper is devoted to some properties of these spaces. \(T_{5_{\frac{1}{2}} }\)-space is introduced and it's general properties are studied.
openaire   +1 more source

On Nb-Separation Axioms

Journal of Al-Qadisiyah for Computer Science and Mathematics, 2022
The main purpose of this paper is to express a new class of separation axioms based on open sets, known as Nb open, as well as to analyze and verify several essential ideas linked with this class.
Anas Mohammed Saeed Naief, Haider Jebur Ali   +1 more
openaire   +1 more source

Wholeness as a Conceptual Foundation of Physical Theories

, 2004
A description of physical reality in which wholeness is the foundation is discussed along with the motivation for such an attempt. As a possible mathematical framework within which a physical theory based on wholeness may be expressed, elementary ...
Piechocinska, Barbara
core   +1 more source