Abundance of topological conjugacy classes for wandering sets of inner mappings
<p>For a homeomorphism there is only one cylindric regular invariant component of wandering set up to the topological conjugacy. But it is different for inner mappings. This paper shows an example of infinite sequence of inner mappings such that each of them has a cylindric regular invariant c...
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| Format: | Article |
| Language: | English |
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Odesa National University of Technology
2015-04-01
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| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
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| Online Access: | http://journals.uran.ua/geometry/article/view/40229 |
| Summary: | <p>For a homeomorphism there is only one cylindric regular invariant component of wandering set up to the topological conjugacy. But it is different for inner mappings. This paper shows an example of infinite sequence of inner mappings such that each of them has a cylindric regular invariant component of wandering set but for any pair of inner mappings their components are not topologically conjugate.</p> |
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| ISSN: | 2072-9812 |