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On soft submaximal spaces
Samer Al Ghour1, Zanyar A Ameen2
1Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan.
Heliyon
|September 22, 2022
Summary
This study investigates soft submaximal topological spaces, exploring their properties under various operations like soft subspaces and mappings. New characterizations of these spaces are presented using soft subsets and extensions.
Area of Science:
- Topology
- Abstract Mathematics
- Soft Set Theory
Background:
- Topological spaces are fundamental in mathematics.
- Soft set theory offers a way to model uncertainty.
- Submaximal spaces are a specific class of topological spaces.
Purpose of the Study:
- To analyze the properties of soft submaximal topological spaces.
- To investigate the behavior of these spaces under soft operations.
- To derive new characterizations of soft submaximal spaces.
Main Methods:
- Examination of soft subspaces.
- Analysis of soft products and soft topological sums.
- Study of images and preimages under soft mappings.
- Characterization using soft subsets and their extensions.
Main Results:
- Detailed properties of soft submaximal spaces are discussed.
- The behavior of these spaces under various soft operations is clarified.
- Several new characterizations of soft submaximal spaces are established.
Conclusions:
- Soft submaximal topological spaces exhibit specific behaviors under topological operations.
- The characterizations provide deeper insights into the structure of these spaces.
- This research contributes to the understanding of soft topology and its applications.
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