Some Applications of Supra Preopen Sets
| Autor: | A. H. Zakari, M. E. El-Shafei, Tareq M. Al-shami |
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| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Property (philosophy) Article Subject General Mathematics 010102 general mathematics Boundary (topology) 02 engineering and technology Topological space Space (mathematics) 01 natural sciences Separation axiom Set (abstract data type) Limit (category theory) QA1-939 0202 electrical engineering electronic engineering information engineering 020201 artificial intelligence & image processing 0101 mathematics Mathematics |
| Zdroj: | Journal of Mathematics, Vol 2020 (2020) |
| ISSN: | 2314-4785 2314-4629 |
| DOI: | 10.1155/2020/9634206 |
| Popis: | The aim of this work is to define some concepts on supra topological spaces using supra preopen sets and investigate main properties. We started this paper by correcting some results obtained in previous study and presenting further properties of supra preopen sets. Then, we introduce a concept of supra prehomeomorphism maps and discuss its main properties. After that we explore the concepts of supra limit and supra boundary points of a set with respect to supra preopen sets and examine their behaviours on the spaces that possess the difference property. Finally, we formulate the concepts of supra pre-Ti-spaces i=0,1,2,3,4 and give completely descriptions for each one of them. In general, we study their main properties in detail and show the implications of these separation axioms among themselves as well as with STi-space with the help of some interesting examples. |
| Databáze: | OpenAIRE |
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