A remark on the tightness of products

Oleg Okunev

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 2, page 397-399
  • ISSN: 0010-2628

Abstract

top
We observe the existence of a σ -compact, separable topological group G and a countable topological group H such that the tightness of G is countable, but the tightness of G × H is equal to 𝔠 .

How to cite

top

Okunev, Oleg. "A remark on the tightness of products." Commentationes Mathematicae Universitatis Carolinae 37.2 (1996): 397-399. <http://eudml.org/doc/247899>.

@article{Okunev1996,
abstract = {We observe the existence of a $\sigma $-compact, separable topological group $G$ and a countable topological group $H$ such that the tightness of $G$ is countable, but the tightness of $G\times H$ is equal to $\mathfrak \{c\}$.},
author = {Okunev, Oleg},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {tightness; products; function spaces; tightness},
language = {eng},
number = {2},
pages = {397-399},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A remark on the tightness of products},
url = {http://eudml.org/doc/247899},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Okunev, Oleg
TI - A remark on the tightness of products
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 2
SP - 397
EP - 399
AB - We observe the existence of a $\sigma $-compact, separable topological group $G$ and a countable topological group $H$ such that the tightness of $G$ is countable, but the tightness of $G\times H$ is equal to $\mathfrak {c}$.
LA - eng
KW - tightness; products; function spaces; tightness
UR - http://eudml.org/doc/247899
ER -

References

top
  1. Arhangel'skii A.V., The frequency spectrum of a topological space and the product operation, Trans. Moscow Math. Soc. 3 (1981), 169-199. (1981) 
  2. Arhangel'skii A.V., Topological Spaces of Functions, Kluwer Academic Publishers Dordrecht (1992). (1992) 
  3. Kombarov A.P., On a strengthening of collectionwise normality, 126 Abstracts of the Fifth Tyraspol Symp. on Gen. Topol. and its Appl. (1985), Štiinca Kišinev Russian. (1985) 
  4. Lawrence L.B., Lindelöf spaces concentrated on Bernstein subsets of the real line, Proc. Amer. Math. Soc. (1992), 114 1 211-215. (1992) Zbl0789.54007MR1062832
  5. Okunev O., Tamano K., Lindelöf powers and products of function spaces, Proc. Amer. Math. Soc., to appear. Zbl0858.54013MR1353393
  6. Malykhin V.I., On the tightness and the Suslin number of exp X and a product of spaces, Soviet. Math. Dokl. (1972), 13 496-499. (1972) 
  7. Shakhmatov D.B., Compact paces and their generalizations, 571-640 Recent Progress in General Topology M. Hušek and J. van Mill North-Holland Amsterdam (1992). (1992) MR1229139
  8. Todorčević S., Some applications of S and L combinatorics., Annals New York Acad. Sci. 705 (1993), 130-167. (1993) MR1277886

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.