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Title

Universalité forte pour les sous-ensembles totalement bornés. Applications aux espaces Cp(X)

Authors 1, 2

Affiliations

  1. Department of Mathematics, Lviv University, Universytetska 1, Lviv, 290602, Ukraine
  2. Université Paris VI, UFR 920, Boîte courrier 172, 4, Place Jussieu, 75252 Paris Cedex 05, France

Bibliography

  1. T. Banakh and R. Cauty, Interplay between strongly universal spaces and pairs, preprint.
  2. C. Bessaga and T. Dobrowolski, Affine and homeomorphic embeddings into l2, preprint.
  3. M. Bestvina and J. Mogilski, Characterizing certain incomplete infinite-dimen- sional absolute retracts, Michigan Math. J. 33 (1986), 291-313.
  4. R. Cauty, Une famille d'espaces préhilbertiens σ-compacts ayant la puissance du continu, Bull. Polish Acad. Sci. Math. 40 (1992), 41-43.
  5. R. Cauty, Indépendance linéaire et classification topologique des espaces normés, Colloq. Math. 66 (1994), 243-255.
  6. R. Cauty, T. Dobrowolski and W. Marciszewski, A contribution to the topological classification of the spaces Cp(X), Fund. Math. 142 (1993), 267-301.
  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.
  8. T. Dobrowolski, Extending homeomorphisms and applications to metric linear spaces without completeness, Trans. Amer. Math. Soc. 313 (1989), 753-784.
  9. T. Dobrowolski, W. Marciszewski and J. Mogilski, On topological classification of function spaces Cp(X) of low Borel complexity, ibid. 328 (1991), 307-324.
  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.
  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.
Colloquium Mathematicum
1997/73/1
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Pages:
25-33
Main language of publication
French
Received
1996-04-01
Published
1997
Exact and natural sciences