Measurable envelopes, Hausdorff measures and Sierpiński sets

• Autorzy: Márton Elekes
• Języki publikacji: EN

Abstrakty

EN

We show that the existence of measurable envelopes of all subsets of ℝⁿ with respect to the d-dimensional Hausdorff measure (0 < d < n) is independent of ZFC. We also investigate the consistency of the existence of $ℋ ^{d}$-measurable Sierpiński sets.

Kategorie tematyczne

• 28E15: Other connections with logic and set theory
• 28A78: Hausdorff and packing measures
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2003
• Tom: 98
• Numer: 2
• Strony: 155-162

Daty

wydano

2003

Twórcy

autor

Márton Elekes

• Rényi Institute of Mathematics, Reáltanoda u. 13-15, Budapest 1053, Hungary

Identyfikatory

DOI

10.4064/cm98-2-2