On permuted products of σ-ideals

• Autorzy: Tomaszewska A.
• Języki publikacji: EN

Abstrakty

EN

According to standard definition of product of σ-ideals we consider two types of ideals: product σ-ideal and its generalisation - permuted product σ-ideal. It is worth while to point out here that in the opposition to the traditional definition of product of ideals we don’t limit our considerations to class of Borel sets.

Słowa kluczowe

EN

σ-ideal; product of σ-ideals

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 2004
• Tom: Vol. 44, nr 1
• Strony: 137--146
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Tomaszewska A.

• Institute of Mathematics, University of Łódź, ul. Stefana Banacha 22, 90-238 Łódź, Poland

Bibliografia

• [1] M. Balcerzak, J. Hejduk, Density topologies for products of σ-ideals, Real Analysis Exchange 20 (1) (1994/95), 163-177.
• [2] M. Gawalec, Iterated products of ideals of Borel sets, Colloq. Math 50 (1985), 39-52.
• [3] J. C. Oxtoby, Measure and Category, New York, Springer-Verlag, 1971.
• [4] R. M. Shortt, Product σ-ideals, Top. Appl. 23 (1986), 279-290.
• [5] L. Zajiček, Porosity and σ-porosity, Real Analysis Exchange 13 (1987/88), 314-350.