(T1, T2)*- Semi Star Generalized Locally Closed Sets
The aim of this paper is to continue the study of ( T1, T 2)-semi star generalized closed sets by introducing the concepts of (T 1, T 2)-semi star generalized locally closed sets and study their basic properties in bitopological spaces.
[1] P. Bhattacharya and B.K. Lahiri, Semi-generalized closed sets in topology, Indian J. Math., 29 (3)(1987), 375-382.
[2] M.C. Cueva, On g-closed sets and g-continuous mappings, Kyungpook
Math. J., 33 (2) (1993), 205-209.
[3] K. Chandrasekhara Rao and K. Joseph, Semi star generalized closed
sets, Bulletin of Pure and Applied Sciences, 19E(No 2) 2000, 281-290
[4] K. Chandrasekhara Rao and K. Kannan, Semi star generalized closed
sets and semi star generalized open sets in bitopological spaces,
Var¯ahmihir Journal of Mathematical Sciences, Vol.5, No 2(2005) 473-485.
[5] K. Chandrasekhara Rao, K. Kannan and D. Narasimhan,
Characterizations of 1 2-sg closed sets, Acta Ciencia Indica,
Vol. XXXIII, No. 3, (2007) 807-810.
[6] K. Chandrasekhara Rao and K. Kannan, sg-locally closed sets in
topological spaces,Bulletin of Pure and Applied Sciences, Vol. 26E
(No.1), 2007, 59-64.
[7] K.Chandrasekhara Rao and K. Kannan, Some properties of sg-locally
closed sets, Journal of Advanced Research in Pure Mathematics, 1 (1)
(2009), 1-9.
[8] K.Chandrasekhara Rao and K. Kannan, sg-locally closed sets in
bitopological spaces,Int. J. Contemp. Math. Sciences, Vol. 4, no. 12
(2009), 597-607.
[9] K. Chandrasekhara Rao and N. Planiappan, Regular generalized closed
sets, Kyungpook Math. J., 33 (2) (1993), 211-219.
[10] J. Dontchev, On submaximal spaces, Tamkang J. Math., 26(3) (1995),
243-250.
[11] T. Fukutake, Semi open sets on bitopological spaces, Bull. Fukuoka Uni.
Education, 38(3)(1989), 1-7.
[12] T. Fukutake, On generalized closed sets in bitopological spaces, Bull.
Fukuoka Univ. Ed. Part III, 35 (1986), 19-28.
[13] M. Ganster , Arockiarani and K. Balachandran, Regular generalized
locally closed sets and RGLC-contiunuous functions, Indian J. Pure
and Appl. Math., 27 (3)(1996), 235-244.
[14] M. Ganster and I.L. Reilly, Locally closed sets and LC contiunuous
functions, International J. Math. and Math. Sci., 12 (1989), 417-424.
[15] M. Ganster, I.L. Reilly and J. Cao, On sg-closed sets and g -closed
sets, Preprint
[16] M. Ganster, I.L. Reilly and J. Cao, Summaximality, extremal
disconnectedness and generalized closed sets, Houston Journal of
Mathematics, 24 (4) (1998), -.
[17] M. Ganster, I.L. Reilly and M.K. Vamanamurthy, Remarks on locally
closed sets, Math. Panon., 3 (2) (1992), 107-113.
[18] Y. Gnananmbal and K. Balachandran, -locally closed sets and -LC
continuous functions, Mem. Fac. Sci. Kochi Univ. Ser. A, Math., 19
(1998), 35-44.
[19] M. Jelic, On pairwise lc-continuous mappings, Indian J. Pure Appl.
Math., 22 (1) (1991), 55-59.
[20] K. Kannan, D. Narasimhan, K. Chandrasekhara Rao and
M. Sundararaman, ( 1, 2)-Semi Star Generalized Closed Sets
in Bitopological Spaces, Journal of Advanced research in Pure
Mathematics, Vol. 2, No. 3 (2010), 34-47.
[21] J. C. Kelly, Bitopological spaces, Proc. London Math. Society,
13(1963),71-89.
[22] T.Y. Kong, R. Kopperman and P.R. Meyer, A topological approach to
digital topology, Amer. Math. Monthly, 98 (1991), 901-917.
[23] M. Lellis Thivagar and O. Ravi, A Bitopological (1, 2)-semi
generalised continuous maps, Bull. Malays. Math. Sci. Soc., 2006, (2)
29(1): 79-88.
[24] N. Levine, Semi-open sets and semi-continuity in topological spaces,
Amer. Math. Monthly, 70 (1963), 36-41.
[25] N.Levine, Generalized closed sets in topology, Rend. Circ. Mat.
Palermo, 19 (2) (1970), 89-96.
[26] H. Maki, P. Sundaram and K. Balachandran, Generalized locally closed
sets and glc-continuous functions, Indian J. Pure Appl. Math., 27(3)
(1996), 235-244.
[27] N. Palaniappan and R. Alagar, Regular generalized locally closed sets
with respect to an ideal, Antarctica J. Math, 3 (1) (2006), 1-6.
[28] Shantha Bose, Semi open sets, semi continuity and semi open mappings
in bitopological spaces, Bull. Cal. Math. Soc., 73 (1981), 237-246.
[29] M.K.R.S. Veera Kumar, gÔÖ»-locally closed sets and GÔÖ»LC-functions,
Antartica J. Math., 1(1) 2004, 35-46
[1] P. Bhattacharya and B.K. Lahiri, Semi-generalized closed sets in topology, Indian J. Math., 29 (3)(1987), 375-382.
[2] M.C. Cueva, On g-closed sets and g-continuous mappings, Kyungpook
Math. J., 33 (2) (1993), 205-209.
[3] K. Chandrasekhara Rao and K. Joseph, Semi star generalized closed
sets, Bulletin of Pure and Applied Sciences, 19E(No 2) 2000, 281-290
[4] K. Chandrasekhara Rao and K. Kannan, Semi star generalized closed
sets and semi star generalized open sets in bitopological spaces,
Var¯ahmihir Journal of Mathematical Sciences, Vol.5, No 2(2005) 473-485.
[5] K. Chandrasekhara Rao, K. Kannan and D. Narasimhan,
Characterizations of 1 2-sg closed sets, Acta Ciencia Indica,
Vol. XXXIII, No. 3, (2007) 807-810.
[6] K. Chandrasekhara Rao and K. Kannan, sg-locally closed sets in
topological spaces,Bulletin of Pure and Applied Sciences, Vol. 26E
(No.1), 2007, 59-64.
[7] K.Chandrasekhara Rao and K. Kannan, Some properties of sg-locally
closed sets, Journal of Advanced Research in Pure Mathematics, 1 (1)
(2009), 1-9.
[8] K.Chandrasekhara Rao and K. Kannan, sg-locally closed sets in
bitopological spaces,Int. J. Contemp. Math. Sciences, Vol. 4, no. 12
(2009), 597-607.
[9] K. Chandrasekhara Rao and N. Planiappan, Regular generalized closed
sets, Kyungpook Math. J., 33 (2) (1993), 211-219.
[10] J. Dontchev, On submaximal spaces, Tamkang J. Math., 26(3) (1995),
243-250.
[11] T. Fukutake, Semi open sets on bitopological spaces, Bull. Fukuoka Uni.
Education, 38(3)(1989), 1-7.
[12] T. Fukutake, On generalized closed sets in bitopological spaces, Bull.
Fukuoka Univ. Ed. Part III, 35 (1986), 19-28.
[13] M. Ganster , Arockiarani and K. Balachandran, Regular generalized
locally closed sets and RGLC-contiunuous functions, Indian J. Pure
and Appl. Math., 27 (3)(1996), 235-244.
[14] M. Ganster and I.L. Reilly, Locally closed sets and LC contiunuous
functions, International J. Math. and Math. Sci., 12 (1989), 417-424.
[15] M. Ganster, I.L. Reilly and J. Cao, On sg-closed sets and g -closed
sets, Preprint
[16] M. Ganster, I.L. Reilly and J. Cao, Summaximality, extremal
disconnectedness and generalized closed sets, Houston Journal of
Mathematics, 24 (4) (1998), -.
[17] M. Ganster, I.L. Reilly and M.K. Vamanamurthy, Remarks on locally
closed sets, Math. Panon., 3 (2) (1992), 107-113.
[18] Y. Gnananmbal and K. Balachandran, -locally closed sets and -LC
continuous functions, Mem. Fac. Sci. Kochi Univ. Ser. A, Math., 19
(1998), 35-44.
[19] M. Jelic, On pairwise lc-continuous mappings, Indian J. Pure Appl.
Math., 22 (1) (1991), 55-59.
[20] K. Kannan, D. Narasimhan, K. Chandrasekhara Rao and
M. Sundararaman, ( 1, 2)-Semi Star Generalized Closed Sets
in Bitopological Spaces, Journal of Advanced research in Pure
Mathematics, Vol. 2, No. 3 (2010), 34-47.
[21] J. C. Kelly, Bitopological spaces, Proc. London Math. Society,
13(1963),71-89.
[22] T.Y. Kong, R. Kopperman and P.R. Meyer, A topological approach to
digital topology, Amer. Math. Monthly, 98 (1991), 901-917.
[23] M. Lellis Thivagar and O. Ravi, A Bitopological (1, 2)-semi
generalised continuous maps, Bull. Malays. Math. Sci. Soc., 2006, (2)
29(1): 79-88.
[24] N. Levine, Semi-open sets and semi-continuity in topological spaces,
Amer. Math. Monthly, 70 (1963), 36-41.
[25] N.Levine, Generalized closed sets in topology, Rend. Circ. Mat.
Palermo, 19 (2) (1970), 89-96.
[26] H. Maki, P. Sundaram and K. Balachandran, Generalized locally closed
sets and glc-continuous functions, Indian J. Pure Appl. Math., 27(3)
(1996), 235-244.
[27] N. Palaniappan and R. Alagar, Regular generalized locally closed sets
with respect to an ideal, Antarctica J. Math, 3 (1) (2006), 1-6.
[28] Shantha Bose, Semi open sets, semi continuity and semi open mappings
in bitopological spaces, Bull. Cal. Math. Soc., 73 (1981), 237-246.
[29] M.K.R.S. Veera Kumar, gÔÖ»-locally closed sets and GÔÖ»LC-functions,
Antartica J. Math., 1(1) 2004, 35-46
@article{"International Journal of Engineering, Mathematical and Physical Sciences:62499", author = "M. Sundararaman and K. Chandrasekhara Rao", title = "(T1, T2)*- Semi Star Generalized Locally Closed Sets", abstract = "The aim of this paper is to continue the study of ( T1, T 2)-semi star generalized closed sets by introducing the concepts of (T 1, T 2)-semi star generalized locally closed sets and study their basic properties in bitopological spaces.
", keywords = "(T1, T2)*-semi star generalized locally closed sets, T1T2-semi star generalized closed sets.", volume = "5", number = "12", pages = "2100-5", }
