Far East Journal of Dynamical Systems
Volume 11, Issue 3, Pages 301 - 308
(October 2009)
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A TRANSITIVE FUNCTION ON TWO DISJOINT SQUARES THAT PRESERVES NEITHER THE DIMENSION NOR THE CATEGORY
Guo Wei (U.S.A.), Yangeng Wang (P. R. China) and Leszek Piatkiewicz (U.S.A.)
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Abstract: A transitive function on two disjoint squares that preserves neither the dimension nor the category is constructed. This construction involves an orbit merging, a product tent function and a Peano curve. |
Keywords and phrases: topological transitivity, Peano curve, tent function, dimension, category. |
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