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Inverse limits of tentlike maps on trees

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Baldwin S.

Fundamenta Mathematicae

2010

tom 207

nr 3

211-254

We investigate generalizations of Ingram's Conjecture involving maps on trees. We show that for a class of tentlike maps on the k-star with periodic critical orbit, different maps in the class have distinct inverse limit spaces. We do this by showing that such maps satisfy the conclusion of the Pseudo-isotopy Conjecture, i.e., if h is a homeomorphism of the inverse limit space, then there is an integer N such that h and σ̂^N switch composants in the same way, where σ̂ is the standard shift map of the inverse limit space.

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1 Fundamenta Mathematicae

1 Baldwin S.

1 2010

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Inverse limits of tentlike maps on trees