| Title:
|
On the Novak number of a hyperspace (English) |
| Author:
|
Bella, Angelo |
| Author:
|
Costantini, Camillo |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
33 |
| Issue:
|
4 |
| Year:
|
1992 |
| Pages:
|
695-698 |
| . |
| Category:
|
math |
| . |
| Summary:
|
An estimate for the Novak number of a hyperspace with the Vietoris topology is given. As a consequence it is shown that this cardinal function can decrease passing from a space to its hyperspace. (English) |
| Keyword:
|
hyperspace |
| Keyword:
|
Vietoris topology |
| Keyword:
|
Novak number |
| Keyword:
|
netweight |
| MSC:
|
54A25 |
| MSC:
|
54A35 |
| MSC:
|
54B20 |
| idZBL:
|
Zbl 0782.54008 |
| idMR:
|
MR1240191 |
| . |
| Date available:
|
2009-01-08T17:59:50Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118541 |
| . |
| Reference:
|
[1] Balcar B., Pelant J., Simon P.: The space of ultrafilters on $N$ covered by nowhere dense sets.Fund. Math. 110 n.1 (1980), 11-24. Zbl 0568.54004, MR 0600576 |
| Reference:
|
[2] Bella A.: Some remarks on the Novak number.Proceedings of the 6th Prague Topological Symposium - General Topology and its Relations to Modern Analysis and Algebra VI - Z. Frolík ed., Heldermann Verlag, Berlin (1988), pp. 43-48. Zbl 0634.54004, MR 0952589 |
| Reference:
|
[3] Bella A.: Some cardinality properties of a hyperspace with the locally finite topology.Proc. Amer. Math. Soc. 104 n. 4 (1988), 1274-1278. Zbl 0692.54002, MR 0969059 |
| Reference:
|
[4] Kunen K.: Set Theory. An introduction to independence proofs.North Holland Pub. Co., 1980. Zbl 0534.03026, MR 0597342 |
| Reference:
|
[5] Michael E.: Topologies on spaces of subsets.Trans. Amer. Math. Soc. 71 (1951), 152-182. Zbl 0043.37902, MR 0042109 |
| Reference:
|
[6] Sikorski R.: Spaces of high power.Fund. Math. 37 (1950), 125-136. Zbl 0041.09705, MR 0040643 |
| . |
