A metric space is (\(k\)-)monotone, if there is a linear order on it such that for any three points \(x < y < z\) the distance between \(x\) and \(y\) is at most \(k\) times the distance between \(x\) and \(z\). A space is \(\sigma\)-monotone if it is the union of countably many monotone spaces. Hrušák and Zindulka asked, whether there is (in ZFC) a non \(\sigma\)-monotone space of size \(\aleph_1\). We investigate this and related questions.
Monotone metric spaces
13.11.2014 15:00 - 16:30
Organiser:
KGRC
Location:
SR 101, 2. St., Währinger Str. 25