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Spring Topology and Dynamics Conference 2006
March 23-25, 2006
University of North Carolina at Greensboro
Greensboro, NC, USA

Organizers
Gregory Bell, Alexander Chigogidze, Paul Duvall, Jan Rychtar, Jerry Vaughan

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Sierpinski Curve Julia Sets for the Weierstrass Elliptic ℘-Function
by
Daniel M. Look
Indiana University of Pennsylvania
Coauthors: Jane Hawkins

The Sierpinski curve is an amazing topological construct. There exists a homeomorphic copy of any planar, one-dimensional continuum within the Sierpinski curve. In this sense the Sierpinski curve is a "Universal Set". Here we discuss the existence of Sierpinski curve Julia sets for the Weierstrass Elliptic ℘-function on certain lattices.

Date received: February 15, 2006

Copyright © 2006 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqs-43.