Article
Full entry |
PDF
(0.1 MB)
Feedback
PDF
(0.1 MB)
Feedback
Keywords:
hyperspace; Vietoris topology; Novak number; netweight
hyperspace; Vietoris topology; Novak number; netweight
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.
References:
[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. MR 0600576 | Zbl 0568.54004
[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. MR 0952589 | Zbl 0634.54004
[3] Bella A.: Some cardinality properties of a hyperspace with the locally finite topology. Proc. Amer. Math. Soc. 104 n. 4 (1988), 1274-1278. MR 0969059 | Zbl 0692.54002
[4] Kunen K.: Set Theory. An introduction to independence proofs. North Holland Pub. Co., 1980. MR 0597342 | Zbl 0534.03026
[5] Michael E.: Topologies on spaces of subsets. Trans. Amer. Math. Soc. 71 (1951), 152-182. MR 0042109 | Zbl 0043.37902
[6] Sikorski R.: Spaces of high power. Fund. Math. 37 (1950), 125-136. MR 0040643 | Zbl 0041.09705
Search
Partner of
