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