Richness of the class of -maps [3] is investigated. Several consequences for the theory of quasi--closed spaces are indicated.
Viene studiata la ricchezza della classe delle -mappe [3]. Vengono anche indicate numerose conseguenze per la teoria degli spazi quasi--chiusi (vedi Lemma 5).
@article{BUMI_2007_8_10B_3_697_0, author = {Zbigniew Duszy\'nski}, title = {A Note on $\mathcal{R}$-Maps}, journal = {Bollettino dell'Unione Matematica Italiana}, volume = {10-A}, year = {2007}, pages = {697-706}, zbl = {1142.54004}, mrnumber = {2351538}, language = {en}, url = {http://dml.mathdoc.fr/item/BUMI_2007_8_10B_3_697_0} }
Duszyński, Zbigniew. A Note on $\mathcal{R}$-Maps. Bollettino dell'Unione Matematica Italiana, Tome 10-A (2007) pp. 697-706. http://gdmltest.u-ga.fr/item/BUMI_2007_8_10B_3_697_0/
[1] Semi-preopen sets, Mat. Vesnik, 38 (1986), 24-32. | MR 854426 | Zbl 0604.54002
,[2] Properties of -closed spaces, Proc. Amer. Math. Soc., 72 (1978), 581-586. | MR 514999 | Zbl 0408.54018
,[3] Some properties related to compactness in topological spaces, Ph.D. thesis, University of Arkansas, 1973. | MR 2623205
,[4] Semi-closure, Texas J. Sci., 22(2-3) (1971), 99- 112.
- ,[5] Semi-topological properties, Fundamenta Mathematicae, 74 (1972), 233-254. | MR 301690 | Zbl 0206.51501
- ,[6] Contra-semicontinuous functions, Math. Pannonica, 10(2) (1999), 159-168. | MR 1704605 | Zbl 0932.54014
- ,[7] On p-open mappings, Bull. Math. Soc. Sci. Math. Roumanie Tome 49 (97), No. 3, 2006, 223-238. | MR 2267122
,[8] Extensions of topological spaces, Ann. of Math., 44 (1943), 471-480; first in Dokl. Akad. Nauk SSSR, 32 (1941), 114. | MR 8686 | Zbl 0061.39601
,[9] Notes on C-compact spaces and functionally compact spaces, Kyungpook Math. J., 10(1) (1970), 75-79. | MR 263027
,[10] Almost continuous mappings, Prace Mat., 10 (1966), 1-7. | MR 220256 | Zbl 0138.17601
,[11] On contra-precontinuous functions, Bul. Malaysian Math. Sci. Soc., 25 (2002), 115-128. | MR 1999994 | Zbl 1185.54017
- ,[12] A note on mappings of extremally disconnected spaces, Acta Math. Hungar., 46(1-2) (1985), 83-92. | MR 819058
,[13] A decomposition of continuity in topological spaces, Amer. Math. Monthly, 68 (1961), 44-46. | MR 126252 | Zbl 0100.18601
,[14] Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70 (1963), 36-41. | MR 166752 | Zbl 0113.16304
,[15] On precontinuous and weak precontinuous mappings, Proc. Math. and Phys. Soc. Egypt, 53 (1982), 47-53. | MR 830896 | Zbl 0571.54011
- - ,[16] α-continuous and α-open mappings, Acta Math. Hungar., 41(3-4) (1983), 213-218. | MR 703734
- - ,[17] On some classes of nearly open sets, Pacific J. Math., 15 (1965), 961-970. | MR 195040 | Zbl 0137.41903
,[18] On almost open mappings, Mem. Miyakanojo Tech. Coll., 7 (1972), 167-171.
,[19] A note on semi-continuous mappings, Lincei-Rend. Sc. fis. mat. e nat., 55 (1973), 400-403. | MR 367897
,[20] On -closed spaces, Ann. Soc. Sci. Bruxelles, 91 (1977), 189-194. | MR 474204
,[21] Semi-continuity and weak-continuity, Czechoslovak Mathematical Journal, 31(106) (1981), 314-321. | MR 611084 | Zbl 0483.54006
,[22] A function which preserves connected spaces, Čas. pěst. mat., 107 (1982), 393-396. | MR 683820 | Zbl 0511.54008
,[23] Almost-open functions, Indian J. Math., 25(1) (1983), 73-79. | MR 809708 | Zbl 0567.54008
,[24] On α-continuous functions, Čas. pěst. mat., 109 (1984), 118-126. | MR 744869
,[25] Super-continuity and some strong forms of continuity, Indian J. Pure Appl. Math., 15(3) (1984), 241-250. | MR 737147 | Zbl 0546.54016
,[26] Weakly -continuous functions, Internat. J. Math. and Math. Sci., 10 (1987), 483-490. | MR 896600 | Zbl 0638.54012
,[27] A note on F-closed spaces, Kyungpook Math. J., 31(2) (1991), 269-273. | MR 1144754 | Zbl 0756.54013
,[28] On a decomposition of quasi-continuity in topological spaces, Stud. Cerc. Mat., 25 (1973), 41-43. (in Romanian) | MR 362195 | Zbl 0255.54008
- ,[29] On ℋ-closed and minimal Hausdorff spaces, Trans. Amer. Math. Soc., 138 (1969), 159-170. | MR 238268 | Zbl 0175.49501
- ,[30] Maximal-Hausdorff spaces, Proc. Indian Acad. Sci., 26 (1947), 31-42. | MR 21682 | Zbl 0031.08201
,[31] Connectedness and strong semi-continuity, Čas. pěst. mat., 109 (1984), 261-265. C | MR 755590 | Zbl 0553.54005
- ,[32] Weak openness and almost openness, Internat. J. Math.and Math. Sci., 7(1) (1984), 35-40. | MR 743822 | Zbl 0562.54020
,[33] Weak continuity and almost continuity, Internat. J. Math. and Math. Sci., 7(2) (1984), 311-318. | MR 757276 | Zbl 0552.54007
,[34] Almost-continuous mappings, Yokohama Math. J., 16 (1968), 63-73. | MR 261569 | Zbl 0191.20802
- ,[35] On nearly-compact spaces, Boll. Un. Mat. Ital., 2(4) (1969). | MR 257979 | Zbl 0188.28005
- ,[36] S-closed spaces, Proc. Amer. Math. Soc., 60 (1976), 335-338. | MR 425899
,[37] Semicontinuous and irresolute images of S-closed spaces, Proc. Amer. Math. Soc., 66(2) (1977), 359-362. | MR 451193 | Zbl 0373.54021
,[38] 45, Springer-Verlag1967. | MR 223854 | Zbl 0156.36103
, Topics in functional analysis, Lecture Notes in Mathematics, vol.