Czasopismo
Tytuł artykułu
Autorzy
Warianty tytułu
Języki publikacji
Abstrakty
Let K(X) be the hyperspace of a compact metric space endowed with the Hausdorff metric. We give a general theorem showing that certain subsets of K(X) are true $F_{σδ}$ sets.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Numer
Strony
203-207
Opis fizyczny
Daty
wydano
2000
otrzymano
1999-09-20
poprawiono
2000-01-17
Twórcy
autor
- Institute of Mathematics, Łódź Technical University, Politechniki 11, I-2, 90-924 Łódź, Poland
autor
- Department of Mathematics, University of Louisville, Louisville, KY 40292-0001, U.S.A.
Bibliografia
- [1] Z. Buczolich, Cantor type sets of positive measure and Lipschitz mappings, Real Anal. Exchange 17 (1991-92), 702-705.
- [2] H. Hashimoto, On the *topology and its application, Fund. Math. 91 (1976), 5-10.
- [3] D. Janković and T. R. Hamlett, New topologies from old via ideals, Amer. Math. Monthly 97 (1990), 295-310.
- [4] W. Just and C. Laflamme, Classifying sets of measure zero with respect to their open covers, Trans. Amer. Math. Soc. 321 (1990), 621-645.
- [5] A. S. Kechris, Classical Descriptive Set Theory, Springer, New York, 1994.
- [6] A. S. Kechris, A. Louveau and H. Woodin, The structure of σ-ideals of compact sets, Trans. Amer. Math. Soc. 301 (1987), 263-288.
- [7] A. Louveau, σ-idéaux engendrés par des ensembles fermés et théorèmes d'approximation, ibid. 257 (1980), 143-169.
- [8] E. Matheron, How to recognize a true $Σ_3^0$ set, Fund. Math. 158 (1998), 181-194.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.bwnjournal-article-cmv86i2p203bwm