Results 41 to 50 of about 722,539 (348)

Generalized soft multi connectedness and compactness

Ratio Mathematica
The significance of connectedness and compactness plays a vital role in studying the properties of topological spaces. Numerous authors explored several characterizations of topological spaces using these notions.
A. Gnanasoundari, V. Inthumathi, M. Maheswari   +2 more
doaj   +1 more source

Soft Topological Transformation Groups

Mathematics, 2020
The aim of the present study is to introduce the concept of soft topological transformation groups by examining the topological transformation groups, which are the core subject of algebraic topology under the soft approach.
Gulay Oguz
doaj   +1 more source

Products on Maximal Compact Frames

Ratio Mathematica, 2023
In topological spaces, many topological properties such as separation properties, paracompactness etc. are preserved under the act of taking product of topological spaces.
Jayaprasad P. N.
doaj   +1 more source

Topological Scott Convergence Theorem

, 2019
Recently, J. D. Lawson encouraged the domain theory community to consider the scientific program of developing domain theory in the wider context of $T_0$ spaces instead of restricting to posets.
Andradi, Hadrian, Ho, Weng Kin
core   +1 more source

N-Closure and N-Interior in Neutrosophic Topological Spaces

Neutrosophic Sets and Systems
Topology greatly benefits from the concept of δ-cloure. Its quiet nature to extended its proper-ties in other topological spaces. So, with the concept of quasi-coincidence Ganguly and Saha pioneered and extensively examined the notion of δ-closure ...
K. Damodharan, M. Vigneshwaran
doaj   +1 more source

On cofree S-spaces and cofree S-flows

Applied General Topology, 2012
Let S-Tych be the category of Tychonoff S-spaces for a topological monoid S. We study the cofree S-spaces and cofree S-flows over topological spaces and we prove that for any topological space X and a topological monoid S, the function space C(S,X) with ...
Behnam Khosravi
doaj   +1 more source

Fractal Topology Foundations [PDF]

Topology and Its Applications, V159, 3156-3170, 2012, 2012
In this paper, we introduce the foundation of a fractal topological space constructed via a family of nested topological spaces endowed with subspace topologies, where the number of topological spaces involved in this family is related to the appearance of new structures on it.
arxiv   +1 more source

SOME KINDS OF SEPARATION AXIOMS ON APPROXIMATION SPACES

Wasit Journal for Pure Sciences
This paper investigates topological features of rough sets and deals with approximation spaces through topological approaches.The traditional separation axioms for topological spaces are extended to approximation spaces.
hisham jasim
doaj   +1 more source

Ways of obtaining topological measures on locally compact spaces [PDF]

Известия Иркутского государственного университета: Серия "Математика", 2018
Topological measures and quasi-linear functionals generalize measures and li\-near functionals. Deficient topological measures, in turn, generalize topological measures.
S. V. Butler
doaj   +1 more source

Topology and curvature of metric spaces

, 2019
We develop a new concept of non-positive curvature for metric spaces, based on intersection patterns of closed balls. In contrast to the synthetic approaches of Alexandrov and Buesemann, our concept also applies to metric spaces that might be discrete ...
Joharinad, Parvaneh, Jost, Jürgen
core   +1 more source