Chain control sets and fiber bundles

Chain control sets and fiber bundles

Let S be a semigroup of homeomorphisms of a compact metric space M and suppose that is a family of subsets of S. This paper gives a characterization of the -chain control sets as intersection of control sets for the semigroups generated by the neighborhoods of the subsets in . We also study the beha...

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Veröffentlicht in:Computational & applied mathematics 2003, Vol.22 (3), p.411-424
1. Verfasser: Barros, Carlos J. Braga
Format: Artikel
Sprache:eng
Schlagworte:
MATHEMATICS, APPLIED
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Zusammenfassung:Let S be a semigroup of homeomorphisms of a compact metric space M and suppose that is a family of subsets of S. This paper gives a characterization of the -chain control sets as intersection of control sets for the semigroups generated by the neighborhoods of the subsets in . We also study the behavior of -chain control sets on principal bundles and their associated bundles.
ISSN:1807-0302
1807-0302
DOI:10.1590/S1807-03022003000300006