| Title:
|
Cleavability and divisibility over developable spaces (English) |
| Author:
|
Cammaroto, Filippo |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
37 |
| Issue:
|
4 |
| Year:
|
1996 |
| Pages:
|
791-796 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Some results on cleavability theory are presented. We also show some new [16]'s results. (English) |
| Keyword:
|
cleavable space |
| Keyword:
|
developable space |
| Keyword:
|
subdevelopable space |
| Keyword:
|
$D$-regular space |
| Keyword:
|
$D$-completely regular space |
| Keyword:
|
$D$-compact space |
| Keyword:
|
$D$-normal space |
| Keyword:
|
divisible space |
| MSC:
|
54A20 |
| MSC:
|
54C10 |
| MSC:
|
54D20 |
| MSC:
|
54E30 |
| idZBL:
|
Zbl 0886.54003 |
| idMR:
|
MR1440708 |
| . |
| Date available:
|
2009-01-08T18:27:54Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118885 |
| . |
| Reference:
|
[1] Arhangel'skii A.V.: A general concept of splittability of topological spaces (in Russian).Abstract Tira. Symp. (1985), Štiinca Kišinev, 1985, pp.8-10. |
| Reference:
|
[2] Arhangel'skii A.V.: Some new trends in the theory of continuous mapping (in Russian).In: Continuous functions on topological spaces, LGU, Riga, 1986, pp.5-35. |
| Reference:
|
[3] Arhangel'skii A.V.: Some problems and lines of investigation in general topology.Comment. Math. Univ. Carolinae 29 (1988), 611-629. MR 0982780 |
| Reference:
|
[4] Arhangel'skii A.V.: A survey on cleavability.to appear. |
| Reference:
|
[5] Arhangel'skii A.V., Cammaroto F.: On different types of cleavability of topological spaces: pointwise, closed, open and pseudoopen.J. Aust. Math. Soc. (Ser. A) 57 (1995), 1-17. MR 1323990 |
| Reference:
|
[6] Arhangel'skii A.V., Kočinac Lj.: Concerning splittability and perfect mapping.Publ. Inst. Math. (Beograd) 47 (61) (1990), 127-131. MR 1103539 |
| Reference:
|
[7] Arhangel'skii A.V., Shakhmatov D.B.: On pointwise approximation of arbitrary functions by countable collections of continuous functions.Jour. of Soviet Math. 50.2 (1990), 1497-1511. Translated from Trudy Seminara imeni I.G. Petrovskogo 13 (1988), 206-227. MR 0961436 |
| Reference:
|
[8] Bella A., Cammaroto F., Kočinac Lj.: Remarks on splittability of topological spaces.Q and A in General Topology 9 (1991), 89-99. MR 1088451 |
| Reference:
|
[9] Brandenburg H.: Separation axioms, covering properties and inverse limits generated by developable spaces.Dissertationes Math. 184 (1989), 88. MR 1048979 |
| Reference:
|
[10] Cammaroto F.: On $D$-completely regular spaces.Supl. Rend. Circ. Mat. Palermo, Ser.II 24 (1990), 35-50. Zbl 0752.54010, MR 1108197 |
| Reference:
|
[11] Cammaroto F.: On splittability of topological spaces.Proc. Brasil Topological Conference, 1990. Zbl 0716.54020 |
| Reference:
|
[12] Heldermann N.C.: Developability and some new regularity axioms.Can. J. Math. 33 (1981), 641-663. Zbl 0419.54006, MR 0627648 |
| Reference:
|
[13] Kočinac Lj.: Perfect $\Cal P$-splittability of topological spaces.Zbornik rad. Fil. Fak. (Nis), Ser. Math. 3 (1989), 9-12. MR 1017632 |
| Reference:
|
[14] Kočinac Lj.: Cleavability and divisibility of topological spaces.Atti Acc. Pel. dei Pericolanti (Messina) 70 (1992), 1-16. MR 1291473 |
| Reference:
|
[15] Kočinac Lj., Cammaroto F., Bella A.: Some results on splittability of topological spaces.Atti Acc. Pel. dei Pericolanti (Messina) 68 (1990), 41-60. MR 1170648 |
| Reference:
|
[16] Kočinac Lj., Cammaroto F.: Developable spaces and cleavability.to appear on Rend. Mat. Univ. Roma, 1995. MR 1312822 |
| . |
