참고문헌
- A. A. K. Abd El-Aziz, On generalized forms of compactness, Master's thesis, Faculty of Science, Taunta University, Egypt, 1989.
-
M. E. Abd El-Monsef, S. N. El-Deeb, and R. A. Mahmoud,
${\beta}-open$ sets and${\beta}-continuous$ mapping, Bull. Fac. Sci. Assiut Univ. A 12 (1983), no. 1, 77-90. -
K. Al-Zoubi and B. Al-Nashef, The topology of
${\omega}-open$ subsets, Al-Manarah Journal 9 (2003), no. 2, 169-179. -
C. K. Basu and M. K. Cohosh,
${\beta}-closed$ spaces and${\beta}-{\theta}-subclosed$ graphs, Eur. J. Pure Appl. Math. 1 (2008), no. 3, 40-50. -
C. K. Basu and M. K. Cohosh, Locally
${\beta}-closed$ spaces, Eur. J. Pure Appl. Math. 2 (2009), no. 1, 85-96. -
C. K. Basu and B. M. Uzzal Afsan,
$P_{\omega}-Closedness$ and Its generalization with respect to a grill, communicated. - C. K. Basu, B. M. Uzzal Afsan, and S. S. Mandal, Degeneracy of some cluster sets, Italian J. of Pure and Appl. Math. (accepted and to appear).
-
C. K. Basu, B. M. Uzzal Afsan, and S. S. Mandal, Functions with strongly
${\beta}-{\theta}-closed$ graphs, Mathematica (Cluj), Tome 51(74), No. 2 (Dec 2009), 119-128. -
S. Bose and D. Sinha, Almost open, almost closed,
${\theta}-continuous$ and almost quasi-compact mappings in bitopological spaces, Bull. Calcutta Math. Soc. 73 (1981), no. 6, 345-354. - J. Dontchev, M. Ganster, and T. Noiri, On p-closed spaces, Int. J. Math. Math. Sci. 24 (2000), no. 3, 203-212. https://doi.org/10.1155/S016117120000226X
-
H. Z. Hdeib,
${\omega}-closed$ mappings, Rev. Colombiana Mat. 16 (1982), no. 1-2, 65-78. -
H. Z. Hdeib,
${\omega}-continuous$ functions, Dirasat Journal 16 (1989), no. 2, 136-153. - D. Jankovic, I. Reilly, and M. Vamanamurthy, On strongly compact topological spaces, Questions Answers Gen. Topology 6 (1988), no. 1, 29-40.
- M. Jelic, A decomposition of pairwise continuity, J. Inst. Math. Comput. Sci. Math. Ser. 3 (1990), no. 1, 25-29.
- J. E. Joseph, Multifunctions and cluster sets, Proc. Amer. Math. Soc. 74 (1979), no. 2, 329-337. https://doi.org/10.1090/S0002-9939-1979-0524312-5
- C. G. Kariofillis, On minimal pairwise Hausdorff bitopological spaces, Indian J. Pure Appl. Math. 19 (1988), no. 8, 751-760.
- J. C. Kelly, Bitopological spaces, Proc. London Math. Soc. (3) 13 (1963), 71-89. https://doi.org/10.1112/plms/s3-13.1.71
- N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41. https://doi.org/10.2307/2312781
- S. N. Maheshwari and R. Prasad, Some new separation axioms in bitopological spaces, Mat. Vesnik 12(27) (1975), no. 2, 159-162.
- S. N. Maheshwari and R. Prasad, Semi-open sets and semicontinuous functions in bitopological spaces, Math. Notae 26 (1977/78), 29-37.
- A. S. Mashhour, M. E. Abd El-Monsef, and S. N. El-Deeb, On precontinuous and weak precontinuous mappings, Proc. Math. Phys. Soc. Egypt No. 53 (1982), 47-53.
- M. N. Mukherjee and A. Debray, On S-cluster sets and S-closed spaces, Int. J. Math. Math. Sci. 23 (2000), no. 9, 597-603. https://doi.org/10.1155/S0161171200001277
- O. Njastad, On some classes of nearly open sets, Pacific J. Math. 15 (1965), 961-970. https://doi.org/10.2140/pjm.1965.15.961
-
T. Noiri, A. Al-Omari, and M. S. M. Noorani, Weak forms of
${\omega}-open$ sets and decompositions of continuity, Eur. J. Pure Appl. Math. 2 (2009), no. 1, 73-84. -
T. Noiri, A. Al-Omari, and M. S. M. Noorani, Slightly
${\omega}-continuous$ functions, Fasc. Math. No. 41 (2009), 97-106. -
A. Al-Omari and M. S. M. Noorani,
$Contra-{\omega}-continuous$ and almost$contra-{\omega}-continuous$ , Int. J. Math. Math. Sci. 2007 (2007), Art. ID 40469, 13 pp. -
A. Al-Omari and M. S. M. Noorani, Regular generalized
${\omega}-closed$ sets, Int. J. Math. Math. Sci. 2007 (2007), Art. ID 16292, 11 pp. - M. K. Singal and S. Prabha Arya, On almost-regular spaces, Glasnik Mat. Ser. III 4 (24) (1969), 89-99.
- T. Soundararajan, Weakly Hausdorff spaces and the cardinality of topological spaces, General Topology and its Relations to Modern Analysis and Algebra, III (Proc. Conf., Kanpur, 1968) pp. 301-306 Academia, Prague, 1971.
- W. J. Thron, Proximity structures and grills, Math. Ann. 206 (1973), 35-62. https://doi.org/10.1007/BF01431527
- N. Velicko, H-closed toplogical spaces, Mat. Sb. 70 (1966), 98-112
- N. Velicko, H-closed toplogical spaces, Amer. Math. Soc. Transl. 78 (1968), no. 2, 103-118.