Comparing the uniformity invariants of null sets for different measures

Saharon Shelah; Juris Steprans

doi:10.1016/j.aim.2004.04.010

Comparing the uniformity invariants of null sets for different measures

Saharon Shelah
, Juris Steprans^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

It is shown to be consistent with set theory that the uniformity invariant for Lebesgue measure is strictly greater than the corresponding invariant for Hausdorff r-dimensional measure where 0<r<1.

Original language	English
Pages (from-to)	403-426
Number of pages	24
Journal	Advances in Mathematics
Volume	192
Issue number	2
DOIs	https://doi.org/10.1016/j.aim.2004.04.010
State	Published - 1 Apr 2005
Externally published	Yes

Keywords

Hausdorff measure
Lebesgue measure
Null set
Product forcing
Proper forcing
Uniformity cardinal invariant

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10.1016/j.aim.2004.04.010

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title = "Comparing the uniformity invariants of null sets for different measures",

abstract = "It is shown to be consistent with set theory that the uniformity invariant for Lebesgue measure is strictly greater than the corresponding invariant for Hausdorff r-dimensional measure where 0",

keywords = "Hausdorff measure, Lebesgue measure, Null set, Product forcing, Proper forcing, Uniformity cardinal invariant",

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AB - It is shown to be consistent with set theory that the uniformity invariant for Lebesgue measure is strictly greater than the corresponding invariant for Hausdorff r-dimensional measure where 0

KW - Hausdorff measure

KW - Lebesgue measure

KW - Null set

KW - Product forcing

KW - Proper forcing

KW - Uniformity cardinal invariant

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JO - Advances in Mathematics

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Comparing the uniformity invariants of null sets for different measures

Abstract

Keywords

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