An affirmative answer to a problem of Cater
General Mathematics
2025-05-08 v1
Abstract
Does there exist an increasing absolutely continuous function, such that is both countable and dense? This problem was proposed by F.S. Cater about two decades ago. We give an affirmative answer to the problem.
Cite
@article{arxiv.2505.03767,
title = {An affirmative answer to a problem of Cater},
author = {Arthur A. Danielyan},
journal= {arXiv preprint arXiv:2505.03767},
year = {2025}
}