Strongly \({g^{*}}\)-Closed Graph Function with Strongly-\({T_{i}{^{g^{*}}}}\) Spaces
DOI:
https://doi.org/10.26713/jims.v11i3-4.930Keywords:
Strongly \(g^{*}\)-closed graph functionAbstract
In this paper, we introduce the graph function called Strongly \(g^{*}\)-closed graph function and studied some of their properties.
Downloads
References
D. Andrijevic, On b-open sets, Mat. Vesink 48 (1996), 59 – 64.
D. Andrijevic, Semi-preopen sets, Mat. Vesink 38 (1986), 24 – 32.
S. P. Arya and T. Nour, Characterizations of s-normal spaces, Indian J. Pure Appl. Math. 21 (1990), 717 – 719.
I. Arockiarani, Studies on Generalizations of Generalized Closed Sets and Maps in Topological Spaces, Ph.D Thesis, Bharathiar University, Coimbatore (1997), http://hdl.handle.net/10603/101249.
S. P. Arya and M. P. Bhamini, A note on semi-US spaces, Ranchi Uni. Math. J. 13 (1982), 60 – 68.
C. E. Aull, Sequences in topological spaces, Comm. Math. (1968), 329 – 336.
P. Bhattacharyya and B. K. Lahiri, Semi-generalizsed closed sets in topology, Indian J. Math. 29 (1987), 375 – 382.
K. Balachandran, P. Sundran and H. Maki, On generalized continuous maps in topological spaces, Mem. Fac.Sci. Kochi Univ., Ser. A. Math. 12 (1991), 5 – 13.
D. E. Cameron, Some maximal topologies which are Q.H.C., Proc. Amer. Math. Soc. 75 (1979), 149 – 156, DOI: 10.1090/S0002-9939-1979-0529232-8.
R. Devi, H. Maki and K. Balachandran, Semi-generalised closed maps and generalized semi-closed maps, Mem. Fac. Sci. Kochi Univ. Ser. A. Math. 14 (1993), 41 – 54.
R. Devi, Studies on Generalizations of Closed Maps and Homeomorphisms in Topological Spaces, Ph.D Thesis, Bharathiar University, Coimbatore (1994), http://hdl.handle.net/10603/102774.
A. A. El-Atik, A Study on Some Types of Mappings on Topological Spaces, M.Sc. thesis, Tanta University, Egypt (1997).
E. Ekici and M. Caldas, Slightly gamma-continuous functions, Bol. Soc. Paran. Mat. 22 (2004), 63 – 74.
M. Ganster and I. L. Reilly, Locally closed sets and LC-continuous functions, Internat. J. Math. Math. Sci. 12(3) (1989), 417 – 424, DOI: 10.1155/S0161171289000505.
Y. Gnanambal, On generalized pre-regular closed sets in topological spaces, Indian J. Pure Appl. Math. 28 (1997), 351 – 360.
N. Levine, Generalized closed sets in topology, Rend. Circ. Math. Palermo 19 (1970), 89 – 96, DOI: 10.1007/BF02843888.
N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36 – 41, DOI: 10.1080/00029890.1963.11990039.
P. E. Long and L. L. Herington, Basic properties of regular closed functions, Rend. Cir. Mat. Palermo 27 (1978), 20 – 28, DOI: 10.1007/BF02843863.
A. S. Mashhour, M. E. Abd EI-Monsef and S. N. EI-Deeb, On precontinuous and weak pre-continuous mapping, Proc. Math., Phys. Soc. Egypt 53 (1982), 47 – 53.
A. S. Mashhour, I. A. Hasanein and S. N. El-Deeb, ®-continuous and ®-open mappings, Acta Math. Hung. 41 (1983), 213 – 218, DOI: 10.1007/BF01961309.
N. Nagaveni, Studies on Generalizations of Homeomorphisms in Topological Spaces, Ph.D Thesis, Bharathiar University, Coimbatore (1999).
O. Njastad, On some classes of nearly open sets, Pacific J. Math. 15 (1965), 961 – 970, DOI: 10.2140/pjm.1965.15.961.
R. Parimelazhagan and V. S. Pillai, Strongly g*-closed sets in topological spaces, Int. Journal of Math. Analysis. 6(30) (2012), 1481 – 1489.
R. Parimelazhagan, Strongly Tg* k -spaces, Journal of Informatics and Mathematical Sciences 11(2) (2019), 147 – 154, DOI: 10.26713/jims.v11i2.958.
V. S. Pillai and R. Parimelazhagan, On strongly g*-continuous maps and pasting lemma in topological spaces, International Journal of Computer Applications 63(6) (2013), 46 – 48.
R. Parimelazhagan, Strongly g*d#-sets in topological spaces, (submitted).
V. S. Pillai and R. Parimelazhagan, Strongly g*-irresolute and homeomorphism in topological spaces, International Journal of Recent Scientific Research 4(1) (2013),005 – 007.
M. K. Singal and A. R. Singal, Almost-continuous mappings, Yokohama Math. J. 16 (1968), 63 – 73.
J. Tong, A decomposition of continuity, Acta Math. Hungar. 48 (1986), 11 – 15, DOI: 10.1007/BF01949045.
J. Tong, On decomposition of continuity in topological spaces, Acta Math. Hungar. 54 (1-2) (1989), 51 – 55, DOI: 10.1007/BF01950708.
A. Wilansky, Between T1 and T2, Amer. Math. Monthly 74 (1967), 261 – 266, DOI: 10.1080/00029890.1967.11999950.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.
