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http://dx.doi.org/10.4134/BKMS.2014.51.2.387

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

Kim, Daejung (Department of Mathematics Chungnam National University)
Lee, Seunghee (Department of Mathematics Chungnam National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.51, no.2, 2014 , pp. 387-400 More about this Journal
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 $B_1,{\ldots},B_l$ such that $T|B_i$ is topologically k-type transitive for each $i=1,2,{\ldots},l$, if T is expansive and has the shadowing property.
Keywords
spectral decomposition theorem; k-type nonwandering sets; expansive; shadowing property;
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