Topic
Hyperconnected space
About: Hyperconnected space is a research topic. Over the lifetime, 5 publications have been published within this topic receiving 21 citations. The topic is also known as: irreducible space.
Papers
1 Nov 2019
TL;DR: In this paper, the authors studied the properties of Somewhere Dense Sets and derived some interesting results related to them such as the collection of all everywhere dense subsets of a strongly hyperconnected space.
Abstract: In this paper, the authors continue studying more properties of somewhere dense sets. They derive some interesting results related to them such as the collection of all somewhere dense subsets of a strongly hyperconnected space $$(X,\tau )$$
forms a filter on X, and a topological space which contains at least two disjoint somewhere dense sets is an $$ST_1$$
-space. Then they introduce and study a concept of S-limit points of a soft set. Depending on somewhere dense and cs-dense sets, they also define and investigate various maps between topological spaces, namely SD-continuous, SD-irresolute, SD-open, SD-closed and SD-homeomorphism maps.
26 citations
23 Jul 2018
TL;DR: In this paper, the notions of -Open, Open, Open Sets, Open and Open Sets are discussed and several properties and relationships between these concepts are discussed, and some characterizations of -extremal...
Abstract: This article deals with the notions of -open, -open, -open, -open, and -open sets. Several properties and the relationships between these concepts are discussed. Some characterizations of -extremal...
15 citations
TL;DR: The main aim of as discussed by the authors is to show that every GTS can be realized as a μ-closed subspace of a generalized hyperconnected space and give more characterizations of generalized hyper connected spaces.
Abstract: The main aim of this paper is to show that every GTS can be realized as a μ-closed subspace of a generalized hyperconnected space. Also, we give more characterizations of generalized hyperconnected spaces.
5 citations
Posted Content•
TL;DR: In this article, proximal cell complexes in a hyperconnected space are introduced, which encodes how collections of path-connected sub-complexes in a Alexandroff-Hopf-Whitehead CW space are near to or far from each other.
Abstract: This article introduces proximal cell complexes in a hyperconnected space. Hyperconnectedness encodes how collections of path-connected sub-complexes in a Alexandroff-Hopf-Whitehead CW space are near to or far from each other. Several main results are given, namely, a hyper-connectedness form of CW (Closure Finite Weak topology) complex, the existence of continuous functions that are paths in hyperconnected relator spaces and hyperconnected chains with overlapping interiors that are path graphs in a relator space. An application of these results is given in terms of the definition of cycles using the centroids of triangles.
7 May 2020
TL;DR: In this article, proximal cell complexes in a hyperconnected space are introduced, which encodes how collections of path-connected sub-complexes in a Alexandroff-Hopf-Whitehead CW space are near or far from each other.
Abstract: This article introduces proximal cell complexes in a hyperconnected space. Hyperconnectedness encodes how collections of path-connected sub-complexes in a Alexandroff–Hopf–Whitehead CW space are near to or far from each other. Several main results are given, namely a hyperconnectedness form of CW (Closure Finite Weak topology) complex, the existence of continuous functions that are paths in hyperconnected relator spaces and hyperconnected chains with overlapping interiors that are path graphs in a relator space. The centroids of surface holes in an image are used as seed points for the triangulation. An application of these results to the definition of cycles using the centroids of triangles is given.
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2020 | 1 |
| 2019 | 1 |
| 2018 | 2 |
| 2012 | 1 |