Sur deux espaces de fonctions non dérivables

Robert Cauty

Fundamenta Mathematicae (1992)

  • Volume: 141, Issue: 3, page 195-214
  • ISSN: 0016-2736

Abstract

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Let D (resp. D*) be the subspace of C = C([0,1], R) consisting of differentiable functions (resp. of functions differentiable at the one point at least). We give topological characterizations of the pairs (C, D) and (C, D*) and use them to give some examples of spaces homeomorphic to CDor to CD*.

How to cite

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Cauty, Robert. "Sur deux espaces de fonctions non dérivables." Fundamenta Mathematicae 141.3 (1992): 195-214. <http://eudml.org/doc/211960>.

@article{Cauty1992,
author = {Cauty, Robert},
journal = {Fundamenta Mathematicae},
keywords = {differentiable functions},
language = {fre},
number = {3},
pages = {195-214},
title = {Sur deux espaces de fonctions non dérivables},
url = {http://eudml.org/doc/211960},
volume = {141},
year = {1992},
}

TY - JOUR
AU - Cauty, Robert
TI - Sur deux espaces de fonctions non dérivables
JO - Fundamenta Mathematicae
PY - 1992
VL - 141
IS - 3
SP - 195
EP - 214
LA - fre
KW - differentiable functions
UR - http://eudml.org/doc/211960
ER -

References

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  7. [7] D. Curtis and Nguyen To Nhu, Hyperspaces of finite subsets which are homeomorphic to ℵ 0 -dimensional linear metric spaces, Topology Appl. 19 (1985), 251-260. Zbl0587.54015
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