Tootfinder

Absolutely nobody asked, but I decided to post a quickie personal "review" of each of the towns I was in during my self-guided art/history tour of #Italy25. Mostly as a note to my future self about where I'd like to return. (1/~12) ↵

Descriptions of Cantor Sets: A Set-Theoretic Survey and Open Problems
Mohsen Soltanifar
https://arxiv.org/abs/2506.13103 https://arxi…

Descriptions of Cantor Sets: A Set-Theoretic Survey and Open Problems
This survey synthesizes the principal descriptive set-theoretic perspectives on deterministic Cantor sets on the real line and charts directions for future study. After recounting their historical genesis and compiling an up-to-date taxonomy, we review the Borel hierarchy and four hierarchically ordered representations-general, nested, iterated-function-system (IFS), and q-ary expansion-presented from the most general to the most specific set-theoretic description of deterministic Cantor sets. …