On some generic small Cantor spaces
Classical Analysis and ODEs
2020-07-10 v2
Abstract
Let , . We show that the typical (in the sense of Baire category) compact subset of is not only a zero dimensional Cantor space but it satisfies the property of being strongly microscopic, which is stronger than being of dimension zero.
Keywords
Cite
@article{arxiv.1905.07184,
title = {On some generic small Cantor spaces},
author = {Emma D'Aniello and Martina Maiuriello},
journal= {arXiv preprint arXiv:1905.07184},
year = {2020}
}