Combined structural and topological stability are equivalent to Axiom A and the strong transversality condition
1984 ◽
Vol 4
(1)
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pp. 81-88
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Keyword(s):
Axiom A
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AbstractThe purpose of this paper is to develop necessary conditions for a diffeomorphism to be topologically stable (lower semistable). Our results combine with a recent theorem of R. Mañé and with earlier results of J. Robbin, C. Robinson, and Z. Nitecki to give a complete characterization of diffeomorphisms of compact manifolds that are both topologically and structurally stable: they are precisely the Axiom A diffeomorphisms that satisfy the strong transversality condition.
Keyword(s):
2006 ◽
Vol 04
(06)
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pp. 1309-1328
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2019 ◽
Vol 125
(1)
◽
pp. 10008
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Keyword(s):