≈ g(1,2)*-CLOSED AND ≈ g(1,2)*-OPEN MAPS
DOI:
https://doi.org/10.32628/IJSRSET207550Keywords:
Closed Sets, Open Maps, bi-topological sets.Abstract
General topology plays vital role in many fields of applied sciences as well as in all branches of mathematics. In reality it is used in data mining, computational topology for geometric design and molecular design, computer-aided design, computer-aided geometric design, digital topology, information systems, particle physics and quantum physics etc. By researching generalizations of closed sets, some new separation axioms have been founded and they turn out to be useful in the study of digital topology. Therefore, all bi-topological sets and functions defined will have many possibilities of applications in digital topology and computer graphics.
References
- Antony Rex Rodrigo, J., Ravi, O., Pandi, Aand Santhana, CM.: On (1,2)*- s-normal spaces and pre-(1, 2)*-gs-closed functions, International Journal of Algorithms, Computing and Mathematics, 4(1) (2011), 29-42.
- Arockiarani, I., Balachandran, K and Ganster, : Regular-generalized locally closed sets and RGL-continuous functions, Indian JPure ApplMath., 28 (1997), 661-669.
- Arya, SPand Gupta, R.: On strongly continuous mappings, Kyungpook MathJ., 14 (1974), 131-143.
- Arya, SPand Nour, TM.: Characterizations of s-normal spaces, Indian JPureApplMath., 21(8) (1990), 717-719.
- Balachandran, K., Sundaram, Pand Maki, H.: Generalized locally closed sets and GLC-continuous functions, Indian JPure ApplMath., 27(3) (1996), 235-244.
- Balachandran, K., Sundaram, Pand Maki, H.: On generalized continuous maps in topological spaces, MemFacSciKochi UnivMath., 12 (1991), 5-13.
- Bhattacharyya, Pand Lahiri, BK.: Semi-generalized closed sets in topology, Indian JMath., 29(3) (1987), 375-382.
- Bourbaki, N.: General topology, Part I, Addison-Wesley, Reading, , 1966.
- Caldas, M.: Semi-generalized continuous maps in topological spaces, Portugaliae Mathematica., 52 Fasc4 (1995), 339-407.
- Carnation, D.: Some properties related to compactness in topological spaces, Ph.DThesis, University of Arkansas, 1977.
- Crossley, SGand Hildebrand, SK.: Semi-closure, Texas JSci., 22 (1971), 99-112.
- Devi, R., Balachandran, Kand Maki, H.: Generalized -closed maps and - generalized closed maps, Indian JPure ApplMath., 29 (1998), 37-49.
- Devi, R., Balachandran, Kand Maki, H.: Semi-generalized closed maps and generalized semi-closed maps, MemFacKochi UnivSerAMath., 14 (1993), 41-54.
Downloads
Published
Issue
Section
License
Copyright (c) IJSRSET
This work is licensed under a Creative Commons Attribution 4.0 International License.