Universalité forte pour les sous-ensembles totalement bornés. Applications aux espaces $C_{p}(X)$

• Autorzy: Taras Banakh , Robert Cauty
• Języki publikacji: FR
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 1997
• Tom: 73
• Numer: 1
• Strony: 25-33

Daty

wydano

1997

otrzymano

1996-04-01

Twórcy

autor

Taras Banakh

• Department of Mathematics, Lviv University, Universytetska 1, Lviv, 290602, Ukraine

autor

Robert Cauty

• Université Paris VI, UFR 920, Boîte courrier 172, 4, Place Jussieu, 75252 Paris Cedex 05, France

Bibliografia

• [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 $l^2$, 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 $C_p(X)$, 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 $C_p(X)$ 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.