| Title:
|
Topological spaces with a selected subset-cardinal invariants and inequalities (English) |
| Author:
|
Gryzlov, A. A. |
| Author:
|
Stavrova, D. N. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
35 |
| Issue:
|
3 |
| Year:
|
1994 |
| Pages:
|
525-531 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Cardinal functions for topological spaces in which a subset is selected in a certain way are defined and studied. Most of the main cardinal inequalities are generalized for such spaces. (English) |
| Keyword:
|
Lindelöf number |
| Keyword:
|
cellularity |
| Keyword:
|
cardinal invariants with respect to a subset |
| MSC:
|
54A05 |
| MSC:
|
54A25 |
| MSC:
|
54D20 |
| idZBL:
|
Zbl 0869.54007 |
| idMR:
|
MR1307279 |
| . |
| Date available:
|
2009-01-08T18:12:59Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118692 |
| . |
| Reference:
|
[1] Archangel'skii A.V.: On the cardinality of bicompacta satisfying the first axiom of countability.Soviet Math. Dokl. 10 (1969), 951-955. |
| Reference:
|
[2] Archangel'skii A.V.: A theorem about cardinality.Uspehi Matem. Nauk 34 (1979), 177-178. MR 0548421 |
| Reference:
|
[3] Archangel'skii A.V., M.M. Genedi Hamdi: The position of subspaces in a topological space: relative compactness, Lindelöfness and axioms of separation.Vestnik Moskovskogo Universiteta, ser I., vol. 6, 1989, 67-69. |
| Reference:
|
[4] Bell M., Ginsburgh J., Woods G.: Cardinal inequalities for topological spaces involving the weak Lindelöf number.Pacific J. Math. 79 (1978), 37-45. MR 0526665 |
| Reference:
|
[5] Engelking R.: General Topology.Warszawa, 1976. Zbl 0684.54001 |
| Reference:
|
[6] Hajnal A., Juhasz I.: Discrete Subspaces of Topological Spaces I & II.Pc. Koninkl. Nederl. Akad. Wet., Ser. A, 70 (1967), 343-356; 72 (1969), 18-30. MR 0264585 |
| Reference:
|
[7] Juhasz I.: Cardinal Functions in Topology - Ten Years Later.Math. Centre Tracts 123, Amsterdam, 1980. Zbl 0479.54001, MR 0576927 |
| Reference:
|
[8] Liu Xiao Shi: Two cardinal functions of topological spaces and improvements of some famous cardinal inequalities.Acta Math. Sinica 29 (1986), 494-497. MR 0867698 |
| Reference:
|
[9] Sun Shu-Hao: A note on Archangel'skii's inequality.J. Math. Soc. Japan 39 (1987), 363-365. MR 0900974 |
| Reference:
|
[10] Stavrova D.N.: A New Inequality for the Cardinality of topological Spaces.Proc. of the XX-th Conf. of the UBM, 1991. |
| . |
