2 citations · 5 across the 5 of their papers we have counts for
5 papers
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…
On functions given by algebraic power series over Henselian valued fields
Krzysztof Jan Nowak
This paper provides, over Henselian valued fields, some theorems on implicit function and of Artin--Mazur on algebraic power series. Also discussed are certain versions of the theo…
Piecewise continuity of functions definable over Henselian rank one valued fields
Krzysztof Jan Nowak
Consider a Henselian rank one valued field of equicharacteristic zero along with the language of Denef--Pas. Let be an -definabl…
Hölder and Lipschitz continuity of functions definable over Henselian rank one valued fields
Krzysztof Jan Nowak
Consider a Henselian rank one valued field of equicharacteristic zero with the three-sorted language of Denef--Pas. Let be a continuous …
On hereditarily rational functions
Krzysztof Jan Nowak
In this paper, we give a short proof of a theorem by Kollár on hereditarily rational functions. This is an answer to his appeal to find an elementary proof which does not rely so m…