Gap Invariance of a Symmetric Invariant Lamination

Masamichi YOSHIDA

doi:10.3836/tjm/1255958307

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Home > Journals > Tokyo J. Math. > Volume 24 > Issue 1 > Article

June 2001 Gap Invariance of a Symmetric Invariant Lamination

Masamichi YOSHIDA

Tokyo J. Math. 24(1): 1-12 (June 2001). DOI: 10.3836/tjm/1255958307

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Abstract

We shall show that any symmetric, forward and backward invariant lamination under $z\mapsto z^d$ is gap invariant in the sense of W. P. Thurston. As a corollary, we have the gap invariance of a quadratic invariant lamination.

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Masamichi YOSHIDA. "Gap Invariance of a Symmetric Invariant Lamination." Tokyo J. Math. 24 (1) 1 - 12, June 2001. https://doi.org/10.3836/tjm/1255958307