Sur l’invariance de la dimension infinie forte par t-équivalence

Robert Cauty

Fundamenta Mathematicae (1999)

  • Volume: 160, Issue: 1, page 95-100
  • ISSN: 0016-2736

Abstract

top
Let X and Y be metric compacta such that there exists a continuous open surjection from C p ( Y ) onto C p ( X ) . We prove that if there exists an integer k such that X k is strongly infinite-dimensional, then there exists an integer p such that Y p is strongly infinite-dimensional.

How to cite

top

Cauty, Robert. "Sur l’invariance de la dimension infinie forte par t-équivalence." Fundamenta Mathematicae 160.1 (1999): 95-100. <http://eudml.org/doc/212383>.

@article{Cauty1999,
author = {Cauty, Robert},
journal = {Fundamenta Mathematicae},
keywords = {function space; strongly infinite-dimensional; ; open map},
language = {fre},
number = {1},
pages = {95-100},
title = {Sur l’invariance de la dimension infinie forte par t-équivalence},
url = {http://eudml.org/doc/212383},
volume = {160},
year = {1999},
}

TY - JOUR
AU - Cauty, Robert
TI - Sur l’invariance de la dimension infinie forte par t-équivalence
JO - Fundamenta Mathematicae
PY - 1999
VL - 160
IS - 1
SP - 95
EP - 100
LA - fre
KW - function space; strongly infinite-dimensional; ; open map
UR - http://eudml.org/doc/212383
ER -

References

top
  1. [1] A. V. Arkhangel'skiĭ, Quelques résultats récents et problèmes ouverts en topologie générale, Uspekhi Mat. Nauk 52 (1997), no. 5, 45-70 (en russe). 
  2. [2] A. V. Arkhangel’skiĭ, Embeddings in C p -spaces, Topology Appl. 85 (1998), 9-33. Zbl0921.54012
  3. [3] R. Engelking, Theory of Dimension, Finite and Infinite, Heldermann, Lemgo, 1995. Zbl0872.54002
  4. [4] R. Pol, On light mappings without perfect fibers on compacta, Tsukuba J. Math. 20 (1996), 11-19. Zbl0913.54015
  5. [5] E. G. Sklyarenko, Sur les propriétés dimensionnelles des espaces de dimension infinie, Izv. Akad. Nauk SSSR 23 (1959), 197-212 (en russe). 
  6. [6] A. V. Zarelua, Construction de compacts fortement de dimension infini à l'aide des anneaux de fonctions continues, Dokl. Akad. Nauk SSSR 214 (1974), 264-267 (en russe). 

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.