Tilde-gamma-open sets and (Tilde-gamma , Tilde-beta)-continuous mappings
DOI:
https://doi.org/10.5269/bspm.52666Resumen
In this paper, we introduce a new class of open sets namely tilde-gamma-open sets in a topological space. In addition, we define tilde-gamma-Ti (i = 0; 1/2; 1; 2) spaces, (tilde-gamma , tilde-beta)-continuous mapping and study their basic properties.
Referencias
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10. G. Sai Sundara Krishnan, D. Saravanakumar, M. Ganster and K. Balachandran, On a class of γ ∗-pre-open sets in topological spaces, Kyungpook Math. J., 54, 173-188, (2014). https://doi.org/10.5666/KMJ.2014.54.2.173
11. D. Saravanakumar, M. Ganster, N. Kalaivani and G. Sai Sundara Krishnan, On (γ ∗, β ∗ )-almost-pre-continuous mappings in topological spaces, J. Egypt. Math. Soc., 23, 180-189, (2015).
12. D. Saravanakumar, N. Kalaivani and G. Sai Sundara Krishnan, Ëœµ-open sets in generalized topological spaces, Malaya J. Mat., 3, 268-276, (2015).
13. D. Saravanakumar, N. Kalaivani and G. Sai Sundara Krishnan, Operations pre-continuous mappings in topological spaces, Acta Sci. et Int., 2, 30-42, (2018).
2. D. S. Jankovic, On functions with α-closed graphs, Glasnik Mat., 18, 141-148, (1983).
3. S. Kasahara, Operation-compact spaces, Math. Japonica, 24, 97-105, (1979).
4. N. Levine, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, 19, 89-96, (1970). https://doi.org/10.1007/BF02843888
5. N. Levine, Semi-open sets and semi continuity in topological spaces, Amer. Math. Monthly, 70, 36-41, (1963). https://doi.org/10.1080/00029890.1963.11990039
6. H. Maki, H. Ogata, K. Balachandran, P. Sundaram and R. Devi, The digital line and operation approches of T 1 2 spaces, Scientiae Math., 3, 345-352, (2000).
7. H. Ogata, Operation on topological spaces and associated topology, Math. Japonica, 36, 175-184, (1991).
8. H. Ogata, Remarks on Some Operation-Separation Axioms, Bull. Fukuoka Univ. Ed. Part III, 40, 41-43, (1991).
9. G. Sai Sundara Krishnan and K. Balachadran, On γ-semi open sets in topological spaces, Bull. Cal. Math. Soc., 98, 517-530, (2006).
10. G. Sai Sundara Krishnan, D. Saravanakumar, M. Ganster and K. Balachandran, On a class of γ ∗-pre-open sets in topological spaces, Kyungpook Math. J., 54, 173-188, (2014). https://doi.org/10.5666/KMJ.2014.54.2.173
11. D. Saravanakumar, M. Ganster, N. Kalaivani and G. Sai Sundara Krishnan, On (γ ∗, β ∗ )-almost-pre-continuous mappings in topological spaces, J. Egypt. Math. Soc., 23, 180-189, (2015).
12. D. Saravanakumar, N. Kalaivani and G. Sai Sundara Krishnan, Ëœµ-open sets in generalized topological spaces, Malaya J. Mat., 3, 268-276, (2015).
13. D. Saravanakumar, N. Kalaivani and G. Sai Sundara Krishnan, Operations pre-continuous mappings in topological spaces, Acta Sci. et Int., 2, 30-42, (2018).
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2022-12-21
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