Topic
Subbase
About: Subbase is a research topic. Over the lifetime, 186 publications have been published within this topic receiving 1649 citations.
Papers published on a yearly basis
1 / 2
Papers
TL;DR: The first aim of this study is to define soft topological spaces and to definesoft continuity of soft mappings, and to introduce soft product topology and study properties of soft projection mappings.
Abstract: The first aim of this study is to define soft topological spaces and to define soft continuity of soft mappings. Second is to introduce soft product topology and study properties of soft projection mappings. Third is to define soft compactness and generalize Alexander subbase theorem and Tychonoff theorem to the soft topological spaces.
364 citations
96 citations
TL;DR: In this article, a new characterization of the ℵ0-spaces of E. Michael is given, called the cs-open topology, which is coarser than the compact-Open topology.
Abstract: A new characterization is given for the ℵ0-spaces of E. Michael. It is known that if X and Y are ℵ0-spaces, then the space of maps from X to I, with the compact-open topology, is also an ℵ0-space. The characterization of ℵ0-spaces is used to show that there is a topology, called the cs-open topology, coarser than the compact-open topology even in the special case of the real functions on the unit interval, in which the mapping space from an ℵ0-space to an ℵ0-space is again an ℵ0-space. Other basic properties of the cs-open topology are given.
69 citations
59 citations
1 Jan 2008
TL;DR: In this article, some methods for generating topologies are obtained using binary relations and the relationship between these methods are discussed, and several examples are given to indicate counter connections, and a quasi-discrete topology from a symmetric relation instead of an equivalence relation is obtained.
Abstract: Relation on a set is a simple mathematical model to which many real-life data can be connected. In fact, topological structures are generalized methods for measuring similarity and dissimilarity between objects in the uni- verses. In this work, some methods for generating topologies are obtained using binary relations. The relationship between these methods are discussed. We also investigate some properties of these topologies. Moreover, we obtain a quasi-discrete topology from a symmetric relation instead of an equivalence relation. Finally, several examples are given to indicate counter connections.
48 citations
Related Topics (5)
Performance Metrics
| Year | Papers |
|---|---|
| 2025 | 24 |
| 2024 | 66 |
| 2023 | 99 |
| 2022 | 112 |
| 2021 | 3 |
| 2020 | 4 |