ON SIERPI ´ NSKI-ZYGMUND BIJECTIONS AND THEIR INVERSES
Krzysztof Ciesielski, Tomasz Natkaniec · 1997
In the paper we will examine when the inverses of one-to-one Sierpinski- Zygmund partial functions from nt to nt are also of Sierpinski-Zygmund type. We show that the existence of a partial Sierpinski-Zygmund func tion 1 with 1-1 being also Sierpinski-Zygmund is inde pendent of ZFC axioms of set theory. However, 1991 Mathematics Subject Classification: Primary 26A15; Secondary 03E35, 03E75.