Fat one-dimensional representatives of pseudo-Anosov isotopy classes with minimal periodic orbit structure

1 March 1994

journal article
Published by IOP Publishing in Nonlinearity

Vol. 7 (2) , 367-384
https://doi.org/10.1088/0951-7715/7/2/004

Abstract

We consider isotopy classes of homeomorphisms of the disc relative to a periodic orbit. Representatives of such isotopy classes are constructed which yield piecewise linear maps of the interval on identification along stable leaves: this means that their periodic orbit structures are easily determined. In the case where the isotopy class is of pseudo-Anosov type, necessary and sufficient conditions are given for this periodic orbit structure to be minimal in the isotopy class.

Keywords

PIECEWISE LINEAR

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