La Classe Borélienne Ne Détermine Pas Le Type Topologique De Cp(x)

Cauty, Robert

Serdica Mathematical Journal (1998)

  • Volume: 24, Issue: 3-4, page 307-318
  • ISSN: 1310-6600

Abstract

top
We prove that, for every countable ordinal α ≥ 3, there exists countable completely regular spaces Xα and Yα such that the spaces Cp (Xα ) and Cp (Yα ) are borelian of class exactly Mα , but are not homeomorphic.

How to cite

top

Cauty, Robert. "La Classe Borélienne Ne Détermine Pas Le Type Topologique De Cp(x)." Serdica Mathematical Journal 24.3-4 (1998): 307-318. <http://eudml.org/doc/11596>.

@article{Cauty1998,
abstract = {We prove that, for every countable ordinal α ≥ 3, there exists countable completely regular spaces Xα and Yα such that the spaces Cp (Xα ) and Cp (Yα ) are borelian of class exactly Mα , but are not homeomorphic.},
author = {Cauty, Robert},
journal = {Serdica Mathematical Journal},
keywords = {Espaces De Fonctions Cp (x); Classe Borélienne; function space; Borel class},
language = {fre},
number = {3-4},
pages = {307-318},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {La Classe Borélienne Ne Détermine Pas Le Type Topologique De Cp(x)},
url = {http://eudml.org/doc/11596},
volume = {24},
year = {1998},
}

TY - JOUR
AU - Cauty, Robert
TI - La Classe Borélienne Ne Détermine Pas Le Type Topologique De Cp(x)
JO - Serdica Mathematical Journal
PY - 1998
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 24
IS - 3-4
SP - 307
EP - 318
AB - We prove that, for every countable ordinal α ≥ 3, there exists countable completely regular spaces Xα and Yα such that the spaces Cp (Xα ) and Cp (Yα ) are borelian of class exactly Mα , but are not homeomorphic.
LA - fre
KW - Espaces De Fonctions Cp (x); Classe Borélienne; function space; Borel class
UR - http://eudml.org/doc/11596
ER -

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.