Periodic points of solenoidal automorphisms in terms of inverse limits
In this paper, we describe the periodic points of automorphisms of a one dimensional solenoid, considering it as the inverse limit, lim←k (S 1 , γk) of a sequence (γk) of maps on the circle S 1 . The periodic points are discussed for a class of automorphisms on some higher dimensional solenoids also...
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| Format: | Article |
| Language: | English |
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Universitat Politècnica de València
2021-10-01
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| Series: | Applied General Topology |
| Subjects: | |
| Online Access: | https://polipapers.upv.es/index.php/AGT/article/view/14589 |
| _version_ | 1818716526315831296 |
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| author | Sharan Gopal Faiz Imam |
| author_facet | Sharan Gopal Faiz Imam |
| author_sort | Sharan Gopal |
| collection | DOAJ |
| description | In this paper, we describe the periodic points of automorphisms of a one dimensional solenoid, considering it as the inverse limit, lim←k (S 1 , γk) of a sequence (γk) of maps on the circle S 1 . The periodic points are discussed for a class of automorphisms on some higher dimensional solenoids also. |
| first_indexed | 2024-12-17T19:20:39Z |
| format | Article |
| id | doaj.art-1d2c56771572487783705f5f9cf584c0 |
| institution | Directory Open Access Journal |
| issn | 1576-9402 1989-4147 |
| language | English |
| last_indexed | 2024-12-17T19:20:39Z |
| publishDate | 2021-10-01 |
| publisher | Universitat Politècnica de València |
| record_format | Article |
| series | Applied General Topology |
| spelling | doaj.art-1d2c56771572487783705f5f9cf584c02022-12-21T21:35:33ZengUniversitat Politècnica de ValènciaApplied General Topology1576-94021989-41472021-10-0122232133010.4995/agt.2021.145899031Periodic points of solenoidal automorphisms in terms of inverse limitsSharan Gopal0Faiz Imam1Birla Institute of Technology and Science - Pilani, Hyderabad campusBirla Institute of Technology and Science - Pilani, Hyderabad campusIn this paper, we describe the periodic points of automorphisms of a one dimensional solenoid, considering it as the inverse limit, lim←k (S 1 , γk) of a sequence (γk) of maps on the circle S 1 . The periodic points are discussed for a class of automorphisms on some higher dimensional solenoids also.https://polipapers.upv.es/index.php/AGT/article/view/14589solenoidperiodic pointsinverse limitspontryagin dual |
| spellingShingle | Sharan Gopal Faiz Imam Periodic points of solenoidal automorphisms in terms of inverse limits Applied General Topology solenoid periodic points inverse limits pontryagin dual |
| title | Periodic points of solenoidal automorphisms in terms of inverse limits |
| title_full | Periodic points of solenoidal automorphisms in terms of inverse limits |
| title_fullStr | Periodic points of solenoidal automorphisms in terms of inverse limits |
| title_full_unstemmed | Periodic points of solenoidal automorphisms in terms of inverse limits |
| title_short | Periodic points of solenoidal automorphisms in terms of inverse limits |
| title_sort | periodic points of solenoidal automorphisms in terms of inverse limits |
| topic | solenoid periodic points inverse limits pontryagin dual |
| url | https://polipapers.upv.es/index.php/AGT/article/view/14589 |
| work_keys_str_mv | AT sharangopal periodicpointsofsolenoidalautomorphismsintermsofinverselimits AT faizimam periodicpointsofsolenoidalautomorphismsintermsofinverselimits |