Do discontinuous additive functions exist?

2 kwietnia 2024 roku o godzinie 13:15 w sali 143 odbędzie się seminarium Instytutu Fizyki, na którym Prof. Wojciech Jabłoński z Katedry Matematyki Uniwersytetu Jana Kochanowskiego wygłosi referat pt.: „Do discontinuous additive functions exist?”.

Abstract:
The answer to the question of the existence of discontinuous additive functions depends on a system of axioms we adopt. If we agree that the Axiom of choice holds in our world, as a conclusion, we infer that there exist discontinuous additive functions. We cannot give formulas of such functions, but we can prove a very odd and unexpected behavior of them. As a conclusion, we get several natural properties of continuous additive functions.