Duszyński, Zbigniew: 
Remarks on $\mathcal{S}$-Closedness in Topological Spaces
 Bollettino dell'Unione Matematica Italiana Serie 8 10-B (2007), fasc. n.2, p. 469-483, Unione Matematica Italiana (English)
pdf (392 Kb), djvu (146 Kb).  | MR 2339455  | Zbl 1139.54002 
Sunto
Relativamente al [27], sono provate alcune proprieta dei sottoinsiemi $\mathcal{S}$-chiusi di uno spazio topologico. Sono studiate delle condizioni mediante le quali le applicazioni conservano alcuni sottospazi $\mathcal{S}$-chiusi.
Referenze Bibliografiche
[1] 
M. E. ABD EL-MONSEF - 
S. N. EL-DEEB - 
R. A. MAHMOUD, 
β-open sets and β-continuous mappings, 
Bull. Fac. Sci. Assiut Univ., 
12 (
1983), 77-90. | 
MR 828081[3] 
N. BISWAS, 
On some mappings in topological spaces, 
Bull. Cal. Math. Soc., 
61 (
1969), 127-135. | 
MR 281167 | 
Zbl 0215.51605[6] 
D. A. CARNAHAN, 
Locally nearly compact spaces, 
Boll. Un. Mat. Ital., 
6 (4) (
1972), 146-153; | 
MR 321013 | 
Zbl 0257.54020[7] C. G. CROSSLEY - S. K. HILDEBRAND, Semi-closed sets and semi-continuity in topological spaces, Texas J. Sci., 22 (1971), 123-126.
[9] 
G. DI MAIO, 
T. NOIRI, 
On s-closed spaces, 
Indian J. Pure Appl. Math., 
18 (3) (
1987), 226-233. | 
MR 880176 | 
Zbl 0625.54031[10] 
K. DLASKA - 
N. ERGUN - 
M. GANSTER, 
On the topology generated by semi-regular sets, 
Indian J. Pure Appl. Math., 
25 (11) (
1994), 1163-1170. | 
MR 1303248 | 
Zbl 0851.54025[12] 
J. DUGUNDJI, 
Topology, 
Allyn and Bacon, Inc., Boston 
1966. | 
MR 193606[14] 
Z. DUSZYNSKI, 
On some classes of subsets in extremally disconnected spaces, to appear in 
Far East J. Mat. Sci. (
2007). | 
MR 2797812[15] 
Z. DUSZYNSKI, 
On some concepts of weak connectedness of topological spaces, 
Acta Math. Hungar., 
110 (1-2) (
2006), 81-90. | 
fulltext (doi) | 
MR 2198416[20] 
A. S. MASHHOUR - 
M. E. ABD EL-MONSEF - 
S. N. EL-DEEB, 
On pre-continuous and weak pre-continuous mappings, 
Proc. Math. Phys. Soc. Egypt, 
53 (
1982), 47-53. | 
MR 830896 | 
Zbl 0571.54011[21] 
A. S. MASHHOUR - 
I. A. HASANEIN - 
S. N. EL-DEEB, 
α-continuous and α-open mappings, 
Acta Math. Hungar., 
41 (
1983), 213-218. | 
fulltext (doi) | 
MR 703734[22] 
A. NEUBRUNNOVÁ, 
On certain generalizations of the notion of continuity, 
Mat. Casopis, 
23 (4) (
1973), 374-380. | 
fulltext EuDML | 
MR 339051[23] 
O. NJASTAD, 
On some classes of nearly open sets, 
Pacific J. Math., 
15 (
1965), 961-970. | 
MR 195040 | 
Zbl 0137.41903[24] 
T. NOIRI, 
On semi-continuous mappings, 
Lincei-Rend. Sc. fis. mat. e nat., 
54 (
1973), 210-214. | 
MR 350686[25] 
T. NOIRI, 
On semi-$T_2$spaces, 
Ann. Soc. Sci. Bruxelles, 
90 (
1976), 215-220. | 
MR 405348[27] 
T. NOIRI, 
On S-closed subspaces, 
Lincei-Rend. Sc. fis. mat. e nat., 
64 (
1978), 157-162. | 
fulltext bdim | 
MR 551642[31] 
Z. PIOTROWSKI, 
On semi-homeomorphisms, 
Boll. Un. Mat. Ital., (5) 
16-A (
1979), 501-509. | 
MR 551374 | 
Zbl 0424.54002[32] 
V. PIPITONE - 
G. RUSSO, 
Spazi semiconnessi a spazi semiaperti, 
Rend. Circ. Mat. Palermo, 
24 (2) (
1975), 273-285. | 
fulltext (doi) | 
MR 464149[36] 
M. K. SINGAL - 
ASHA RANI SINGAL, 
Almost-continuous mappings, 
Yokohama Math. J., 
16 (
1968), 63-73. | 
MR 261569 | 
Zbl 0191.20802[37] 
D. SIVARAJ, 
I-compact subsets, 
Boll. Un. Mat. Ital., (6) 
3-B (
1984), 87-98. | 
MR 744431[38] 
T. SOUNDARARAJAN, 
Weakly Hausdorff spaces and cardinality of topological spaces, 
General Topology and its application to Modern Analysis and Algebra III, Proc. Conf. Kanpur 1968, 
Academia, Prague, (
1977), 301-306. | 
fulltext EuDML | 
MR 283746[39] 
S. F. TADROS, 
A. B. KHALAF, 
On regular semi-open sets and s*-closed spaces, 
Tamkang J. Math., 
23(4) (
1992), 337-348. | 
MR 1204644 | 
Zbl 0780.54020[41] 
A. WILANSKY, 
Topics in functional analysis, 
Lecture Notes in Mathematics, vol. 
45, 
Springer-Verlag 1967. | 
MR 223854 | 
Zbl 0156.36103