Real-expansive flows and topological dimension
1981 ◽
Vol 1
(2)
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pp. 179-195
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Keyword(s):
Axiom A
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AbstractWe examine generalizations of R. Mañé's results on the topological dimension of spaces supporting an expansive homeomorphism to the case of real-expansive flows. We show that a space supporting a real-expansive flow must be finite dimensional, and a minimal real-expansive flow not exhibiting a type of spiral behaviour must be one-dimensional. This latter class includes all known examples and a slight generalization of Axiom A flows. These results are obtained by introducing a new concept of stable and unstable sets for real flows, and examining real-expansive flows in terms of these sets.
Keyword(s):
2009 ◽
Vol 19
(02)
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pp. 545-555
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Keyword(s):
2021 ◽
Vol 0
(0)
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pp. 0
2015 ◽
Vol 63
(1)
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pp. 295-303
2021 ◽
pp. 014233122110592
Keyword(s):
1970 ◽
Vol 13
(4)
◽
pp. 463-467
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Keyword(s):
Keyword(s):
2020 ◽
Vol 20
(1)
◽
pp. 109-120
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1968 ◽
Vol 11
(3)
◽
pp. 399-403
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Keyword(s):