Homeomorphisms without the pseudo-orbit tracing property
1982 ◽
Vol 88
◽
pp. 155-160
◽
Keyword(s):
Recently, A. Morimoto [5] proved that every isometry of a compact Riemannian manifold of positive dimension has not the pseudo-orbit tracing property, and that if a homeomorphism of a compact metric space has the pseudo-orbit tracing property then Eφ— 0φ(see § 1 for definition). The purpose of this paper is to show that every distal homeomorphism of a compact connected metric space has not the pseudo-orbit tracing property.
Keyword(s):
1997 ◽
Vol 20
(2)
◽
pp. 397-402
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1998 ◽
Vol 77
(3)
◽
pp. 249-282
◽
2005 ◽
Vol 15
(4)
◽
pp. 589-606
◽
1978 ◽
Vol 82
(1-2)
◽
pp. 13-17
◽
Keyword(s):