3 papers
math.GN2026
Two notes on valued fields
S. Maghsoudi, Daniel L. Rodríguez-Vidanes
This paper studies two questions on valued fields: the metric dimension induced by an absolute value, and the uniform openness of multiplication. For nontrivial non-archimedean abs…
math.FA2026
Algebraic structures featuring graph dimensions, Hölder regularity, and fractional differentiability
Céline Esser, Saeid Maghsoudi, Daniel L. Rodríguez-Vidanes +1
We investigate the algebraic genericity of various families of continuous functions exhibiting extreme irregularity, focusing on fractal dimensions, Hölder regularity, and fraction…
math.FA2022
Some properties of differentiable p-adic functions
Juan Fernández-Sánchez, Saeid Maghsoudi, Daniel L. Rodríguez-Vidanes +1
In this paper, using the tools from the lineability theory, we distinguish certain subsets of -adic differentiable functions. Specifically, we show that the following sets of fu…