Universalité forte pour les sous-ensembles totalement bornés. Applications aux espaces
Colloquium Mathematicae (1997)
- Volume: 73, Issue: 1, page 25-33
- ISSN: 0010-1354
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topBanakh, Taras, and Cauty, Robert. "Universalité forte pour les sous-ensembles totalement bornés. Applications aux espaces $C_{p}(X)$." Colloquium Mathematicae 73.1 (1997): 25-33. <http://eudml.org/doc/210477>.
@article{Banakh1997,
author = {Banakh, Taras, Cauty, Robert},
journal = {Colloquium Mathematicae},
keywords = {absorber; topological vector space; locally convex; strong universality; totally bounded; precompact; pre-Hilbert; function space ; -set},
language = {fre},
number = {1},
pages = {25-33},
title = {Universalité forte pour les sous-ensembles totalement bornés. Applications aux espaces $C_\{p\}(X)$},
url = {http://eudml.org/doc/210477},
volume = {73},
year = {1997},
}
TY - JOUR
AU - Banakh, Taras
AU - Cauty, Robert
TI - Universalité forte pour les sous-ensembles totalement bornés. Applications aux espaces $C_{p}(X)$
JO - Colloquium Mathematicae
PY - 1997
VL - 73
IS - 1
SP - 25
EP - 33
LA - fre
KW - absorber; topological vector space; locally convex; strong universality; totally bounded; precompact; pre-Hilbert; function space ; -set
UR - http://eudml.org/doc/210477
ER -
References
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- [7] J. Dijkstra, T. Grilliot, D. Lutzer and J. van Mill, Function spaces of low Borel complexity, Proc. Amer. Math. Soc. 94 (1985), 703-710. Zbl0525.54010
- [8] T. Dobrowolski, Extending homeomorphisms and applications to metric linear spaces without completeness, Trans. Amer. Math. Soc. 313 (1989), 753-784. Zbl0692.57007
- [9] T. Dobrowolski, W. Marciszewski and J. Mogilski, On topological classification of function spaces of low Borel complexity, ibid. 328 (1991), 307-324. Zbl0768.54016
- [10] T. Dobrowolski and J. Mogilski, Sigma-compact locally convex metric linear spaces universal for compacta are homeomorphic, Proc. Amer. Math. Soc. 78 (1982), 653-658. Zbl0511.57009
- [11] T. Dobrowolski and J. Mogilski, Problems on topological classification of incomplete metric spaces, in: Open Problems in Topology, J. van Mill and G. M. Reed (eds.), Elsevier, Amsterdam, 1990, 409-429.
- [12] W. Marciszewski, On topological embeddings of linear metric spaces, preprint. Zbl0877.46001
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