5 citations · 14 across the 8 of their papers we have counts for
10 papers · 1 filter
Definable transformation to normal crossings over Henselian fields with separated analytic structure
Krzysztof Jan Nowak
We are concerned with rigid analytic geometry in the general setting of Henselian fields with separated analytic structure, whose theory was developed by Cluckers--Lipshitz--Ro…
Definable retractions over Henselian valued fields with analytic structure
Krzysztof Jan Nowak
Let be a Henselian, non-trivially valued field with separated analytic structure. We prove the existence of definable retractions onto an arbitrary closed definable subset of $…
Definable retractions over complete fields with separated power series
Krzysztof Jan Nowak
Let be a complete non-Archimedean field with separated power series, treated in the analytic Denef--Pas language. We prove the existence of definable retractions onto an ar…
Definable retractions and a non-Archimedean Tietze--Urysohn theorem over Henselian valued fields
Krzysztof Jan Nowak
We prove the existence of definable retractions onto arbitrary closed subsets of definable over Henselian valued fields . Hence directly follows non-Archimedian analogue…
Some results of geometry over Henselian fields with analytic structure
Krzysztof Jan Nowak
The paper deals with Henselian valued field with analytic structure. Actually, we are focused on separated analytic structures, but the results remain valid for strictly convergent…
A closedness theorem over Henselian valued fields with analytic structure
Krzysztof Jan Nowak
The main purpose of the paper is to establish a closedness theorem over Henselian valued fields of equicharacteristic zero (not necessarily algebraically closed) with separated…