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A Complete Classification of Inverse Limit Spaces of Tent Maps with Periodic Critical Points
by
Brian Raines
University of Missouri at Rolla
We present a complete classification of inverse limit spaces of tent maps with periodic critical points by proving the following theorem:
If f and g are tent maps with periodic critical points then lim <-- {[0, 1], f} is homeomorphic to lim <-- {[0, 1], g} if, and only if, the kneading sequence of f is exactly the same as the kneading sequence of g.
This answers a long-standing question of W.T. Ingram.
Date received: January 26, 2000
Copyright © 2000 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 # cady-14.