On the Novak number of a hyperspace

Angelo Bella; Camillo Costantini

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 4, page 695-698
  • ISSN: 0010-2628

Abstract

top
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.

How to cite

top

Bella, Angelo, and Costantini, Camillo. "On the Novak number of a hyperspace." Commentationes Mathematicae Universitatis Carolinae 33.4 (1992): 695-698. <http://eudml.org/doc/247397>.

@article{Bella1992,
abstract = {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.},
author = {Bella, Angelo, Costantini, Camillo},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {hyperspace; Vietoris topology; Novak number; netweight; netweight; Novak number; Vietoris topology},
language = {eng},
number = {4},
pages = {695-698},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the Novak number of a hyperspace},
url = {http://eudml.org/doc/247397},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Bella, Angelo
AU - Costantini, Camillo
TI - On the Novak number of a hyperspace
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 4
SP - 695
EP - 698
AB - 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.
LA - eng
KW - hyperspace; Vietoris topology; Novak number; netweight; netweight; Novak number; Vietoris topology
UR - http://eudml.org/doc/247397
ER -

References

top
  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. (1980) Zbl0568.54004MR0600576
  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. Zbl0634.54004MR0952589
  3. Bella A., Some cardinality properties of a hyperspace with the locally finite topology, Proc. Amer. Math. Soc. 104 n. 4 (1988), 1274-1278. (1988) Zbl0692.54002MR0969059
  4. Kunen K., Set Theory. An introduction to independence proofs, North Holland Pub. Co., 1980. Zbl0534.03026MR0597342
  5. Michael E., Topologies on spaces of subsets, Trans. Amer. Math. Soc. 71 (1951), 152-182. (1951) Zbl0043.37902MR0042109
  6. Sikorski R., Spaces of high power, Fund. Math. 37 (1950), 125-136. (1950) Zbl0041.09705MR0040643

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.