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http://dx.doi.org/10.4134/BKMS.2005.42.3.631

TOTALLY CHAIN-TRANSITIVE ATTRACTORS OF GENERIC HOMEOMORPHISMS ARE PERSISTENT

GHANE FATEMEH HELEN (DEPARTMENT OF MATHMATHICS, FERDOWSI UNIVERSITY OF MASHHAD)
FAKHARI ABBAS (DEPARTMENT OF MATHMATHICS, FERDOWSI UNIVERSITY OF MASHHAD)

Publication Information

Bulletin of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 631-638 More about this Journal

Abstract

we prove that, given any compact metric space X, there exists a residual subset R of H(X), the space of all homeomorphisms on X, such that if $\in$ R has a totally chain-transitive attractor A, then any g sufficiently close to f has a totally chain transitive attractor A $\_{g}$ which is convergent to A in the Hausdorff topology.

Keywords

totally chain-transitive; attractor; persistent;

Citations & Related Records

Reference

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