Ensembles absorbants pour les classes projectives

Robert Cauty

Fundamenta Mathematicae (1993)

  • Volume: 143, Issue: 3, page 203-206
  • ISSN: 0016-2736

Abstract

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We prove the existence, in the Hilbert space, of an absorbing set for the nth projective class.

How to cite

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Cauty, Robert. "Ensembles absorbants pour les classes projectives." Fundamenta Mathematicae 143.3 (1993): 203-206. <http://eudml.org/doc/212004>.

@article{Cauty1993,
author = {Cauty, Robert},
journal = {Fundamenta Mathematicae},
keywords = {absorbing set; projective class},
language = {fre},
number = {3},
pages = {203-206},
title = {Ensembles absorbants pour les classes projectives},
url = {http://eudml.org/doc/212004},
volume = {143},
year = {1993},
}

TY - JOUR
AU - Cauty, Robert
TI - Ensembles absorbants pour les classes projectives
JO - Fundamenta Mathematicae
PY - 1993
VL - 143
IS - 3
SP - 203
EP - 206
LA - fre
KW - absorbing set; projective class
UR - http://eudml.org/doc/212004
ER -

References

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  1. [1] C. Bessaga and A. Pełczyński, Selected Topics in Infinite-Dimensional Topology, PWN, Warszawa, 1975. Zbl0304.57001
  2. [2] M. Bestvina and J. Mogilski, Characterizing certain incomplete infinite dimensional absolute retracts, Michigan Math. J. 33 (1986), 291-313. Zbl0629.54011
  3. [3] R. Cauty, Caractérisation topologique de l'espace des fonctions dérivables, Fund. Math. 138 (1991), 35-58. Zbl0770.54015
  4. [4] R. Cauty, Sur deux espaces de fonctions non dérivables, ibid. 141 (1992), 195-214. 
  5. [5] R. Cauty, Un exemple d'ensembles absorbants non équivalents, ibid. 140 (1991), 49-61. 
  6. [6] R. Cauty and T. Dobrowolski, Applying coordinate products to the topological identification of normed spaces, Trans. Amer. Math. Soc. 337 (1993), 625-649. Zbl0820.57015
  7. [7] C. Kuratowski, Topologie, vol. I, 4ème édition, PWN, Warszawa, 1958. 
  8. [8] S. Mazurkiewicz, Über die Menge der differenzierbaren Funktionen, Fund. Math. 27 (1936), 244-249. Zbl62.0239.01
  9. [9] S. Mazurkiewicz, Eine projektive Menge der Klasse PCA im Funktionalraum, ibid. 28 (1937), 7-10. Zbl0015.29801

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