On non-injectivity of Borel functions selecting points from compact sets. 2

• Autorzy: Balcerzak, M. , Peredko, J. , Pol, R.
• Języki publikacji: EN

Abstrakty

EN

The note is a supplement to (1]. We refine a result from [1] on the non-injectivity of Borel selections on the hyperspaces and we discuss the relations of the results in [1] with some results obtained by Lecomte (4].

Słowa kluczowe

PL

hiperprzestrzeń; kategoria Baire'a; selekcja Borela

EN

Baire category; Borel selection; hyperspace

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2001
• Tom: Vol. 49, no 2
• Strony: 103--105
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Balcerzak, M.

• Institute of Mathematics, Łódź Technical University, al. Politechniki 11, I-2, 90-924 Łódź, Poland,
• Faculty of Mathematics, University of Łódź, ul. Banacha 22, 90-238 Łódź, Poland

autor

Peredko, J.

• Institute of Mathematics, Łódź Technical University, al. Politechniki 11, I-2, 90-924 Łódź, Poland,

autor

Pol, R.

• Institute of Mathematics, Warsaw University, Ul. Banacha 2, 02-097 Warszawa, Poland ,

Bibliografia

• [1] M. Balcerzak, J. Peredko, R. Pol, On non-injectivity of Borel functions selecting points from compact sets, Arch. Math. (Basel), 73 (1999) 286-290.
• [2] N. Bourbaki, Topologie Générale, Hermann, Paris 1966.
• [3] A. S. Kechris, Classical Descriptive Set Theory, Springer, New York 1995.
• [4] D. Lecomte, Uniformisations partielles et criteres a la Hurewicz dans le plan, Trans. Amer. Math. Soc., 347 (1995) 4433-4460.