2 papers
math.GN2021
Trees and Homogeneous LOTS
Ethan Akin, Karel Hrbacek
We describe those complete linearly ordered topological spaces which are homogeneous (=CHLOTS). That is, is order isomorphic with any nonempty open interval in . Using c…
math.LO2020
Infinitesimal analysis without the Axiom of Choice
Karel Hrbacek, Mikhail G. Katz
It is often claimed that analysis with infinitesimals requires more substantial use of the Axiom of Choice than traditional elementary analysis. The claim is based on the observati…