Abstract

We prove that the set of k-type nonwandering points of a Z2-action T can be decomposed into a disjoint union of closed and T-invariant sets <TEX>$B_1,{\ldots},B_l$</TEX> such that <TEX>$T|B_i$</TEX> is topologically k-type transitive for each <TEX>$i=1,2,{\ldots},l$</TEX>, if T is expansive and has the shadowing property.

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