Category analogue of sup-measurability problem

• Autorzy: Ciesielski K. , Shelah S.
• Języki publikacji: EN

Abstrakty

EN

A function F: R2→ R is called sup-measurable if Ff : R→ R given by Ff(x) = F(x,f(x)), x ∈R, is measurable for each measurable function f: R→ R. It is known that under different set theoretical assumptions, including CH, there are sup-measurable non-measurable functions, as well as their category analogues. In this paper we will show that the existence of the category analogues of sup-measurable non-measurable functions is independent of ZFC. A similar result for the original measurable case is the subject of a work in prepartion by Rosłanowski and Shelah.

Słowa kluczowe

EN

Baire property; composition of functions; sup-measurable functions

PL

własność Baire'a; skład funkcji; sup-wymierne funkcje

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2000
• Tom: Vol. 6, nr 2
• Strony: 159--172
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Ciesielski K.

autor

Shelah S.

• Department of Mathematics West Virginia University Morgantown, WV 26506-6310 USA,