Hiroshige Shiga

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math.CV2026

Thompson's groups and Teichmüller modular groups of generalized Cantor sets

Hiroshige Shiga

Thompson's groups, which are denoted by $F, T$ and $V$ , were introduced by R. Thompson. It is known that they are related to various fields in mathematics. In this paper, we establ…

math.CV2026

Structures of moduli spaces of generalized Cantor sets

Hiroshige Shiga

For each $I ¨ \in (0, 1)^{N}$ , we may construct a Cantor set $E (I ¨ ) \subset [0, 1]$ called a generalized Cantor set for $I ¨ $ . We study the moduli space of $I ¨ $ denoted by $\ma…