Locally connected tree-like invariant continua under Kleinian groups (Hyperbolic Spaces and Discrete Groups)
Katsuhiko Matsuzaki · Institutional Repositories DataBase (IRDB) · 2001
お茶の水女子大学理学部数学科 松崎克彦This note deals with invariant continua under Kleinian groups.Here, acontinuum is acompact connected subset of the Riemann sphere $S^{2}$ , and aKleinian group is adiscrete subgroup of M\"obius transformations of $S^{2}$ .Let $L$ be acontinuum on $S^{2}$ .By definition, $L$ is locally connected at apoint $y\in L$