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| Non-wandering Expanding Maps on Branched 1-Manifolds and Smale–Williams Solenoids | |
| 摘 要： | In this paper, we give a criterion of whether there are non-wandering expanding maps on a given branched 1-manifold. As an application, we give an example of a dynamic on a 3-manifold having non-zero first Betti number, the non-wander sets of which are two Smale–Williams solenoids. |
| 关 键 词： | 三维流形 电磁铁 地图 梅 电磁阀 非零 |
Non-wandering expanding maps on branched 1-manifolds and Smale-Williams solenoids |
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| Authors: | |
| Abstract: | In this paper, we give a criterion of whether there are non-wandering expanding maps on a given branched 1-manifold. As an application, we give an example of a dynamic on a 3-manifold having non-zero first Betti number, the non-wander sets of which are two Smale-Williams solenoids. |
| Keywords: | Non-wandering expanding map branched -manifold solenoid |
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