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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 B1,...,Bl such that T|Bi is topologically k-type transitive for each i = 1,2,...,l, if T is expansive and has the shadowing property.

SPECTRAL DECOMPOSITION OF k-TYPE NONWANDERING SETS FOR ℤ2-ACTIONS

SPECTRAL DECOMPOSITION OF k-TYPE NONWANDERING SETS FOR ℤ²-ACTIONS