Report
Open maps between shift spaces
| العنوان: | Open maps between shift spaces |
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| المؤلفون: | Jung, Uijin |
| المصدر: | Ergodic Theory and Dynamical Systems (2009), 29 (4):1257-1272 |
| سنة النشر: | 2008 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Dynamical Systems, 37B10, 37B15, 37B40 |
| الوصف: | Given a code from a shift space to an irreducible sofic shift, any two of the following three conditions -- open, constant-to-one, (right or left) closing -- imply the third. If the range is not sofic, then the same result holds when bi-closingness replaces closingness. Properties of open mappings between shift spaces are investigated in detail. In particular, we show that a closing open (or constant-to-one) extension preserves the structure of a sofic shift. Comment: 16 pages, 3 figures; to appear in Ergodic Theory Dynamical Systems |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1017/S0143385708000692 |
| URL الوصول: | http://arxiv.org/abs/0810.4627 |
| رقم الانضمام: | edsarx.0810.4627 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1017/S0143385708000692 |
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