EuDML | Browse

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

Subjects
28-XX Measure and integration
28Exx Miscellaneous topics in measure theory
28E15 Other connections with logic and set theory

The search session has expired. Please query the service again.

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1

Displaying 1 – 1 of 1

Less than $2^{ω}$ many translates of a compact nullset may cover the real line

Márton Elekes, Juris Steprāns (2004)

Fundamenta Mathematicae

We answer a question of Darji and Keleti by proving that there exists a compact set C₀ ⊂ ℝ of measure zero such that for every perfect set P ⊂ ℝ there exists x ∈ ℝ such that (C₀+x) ∩ P is uncountable. Using this C₀ we answer a question of Gruenhage by showing that it is consistent with ZFC (as it follows e.g. from $c o f () < 2^{ω}$ ) that less than $2^{ω}$ many translates of a compact set of measure zero can cover ℝ.

Currently displaying 1 – 1 of 1

Page 1

Displaying 1 – 1 of 1

Less than 2 ω many translates of a compact nullset may cover the real line

Currently displaying 1 – 1 of 1

Less than $2^{ω}$ many translates of a compact nullset may cover the real line