Exceptional directions for Sierpiński's nonmeasurable sets

Tom 140 / 1992

B. Kirchheim, Tomasz Natkaniec Fundamenta Mathematicae 140 (1992), 237-245 DOI: 10.4064/fm-140-3-237-245

Streszczenie

In [2] the question was considered in how many directions can a nonmeasurable plane set behave even "better" than the classical one constructed by Sierpiński in [6], in the sense that any line in a given direction intersects the set in at most one point. We considerably improve these results and give a much sharper estimate for the size of the sets of those "better" directions.

Autorzy

  • B. Kirchheim
  • Tomasz Natkaniec

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek