Thin sets of constant width
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.09.053
Abstract: Abstract We prove that every Banach space which admits an unconditional basis can be renormed to contain a constant width set with empty interior, thus guaranteeing, for the first time, existence of such sets in… read more here.
Keywords: thin sets; sets constant; constant width;
Partitions into thin sets and forgotten theorems of Kunugi and Luzin–Novikov
Sign Up to like & getrecommendations! Published in 2019 at "Colloquium Mathematicum"
DOI: 10.4064/cm7287-4-2018
Abstract: Let $f$ be a function from a metric space $Y$ to a separable metric space $X$. If $f$ has the Baire property, then it is continuous apart a 1st category set. In 1935, Kuratowski asked… read more here.
Keywords: sets forgotten; theorems kunugi; partitions thin; kunugi luzin ... See more keywords