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


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


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

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 = {},
volume = {160},
year = {1999},

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 -
ER -


  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). 

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