We discover geometric properties of certain definable sets over non-Archimedean valued fields with analytic structures. Results include a parameterized smooth stratification theore...
In [1] it was developed o-minimal homotopy for the definable category, proving o-minimal versions of the Hurewicz theorems and the Whitehead theorem. Here, we also extend these res...
We propose and investigate a uniform modal logic framework for reasoning about topology and relative distance in metric and more general distance spaces, thus enabling the compari...
Mikhail Sheremet, Frank Wolter, Michael Zakharyasc...