Discontinuous Birkhoff theorem
A topological space X is called totally recurrent if every mapping f : X → X has a recurrent point. We prove that a Hausdorff space X is totally recurrent if and only if X is either finite or a one-point compactification of an infinite discrete space.
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| Published in: | Український математичний вісник |
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| Date: | 2007 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/124527 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Discontinuous Birkhoff theorem / O. Petrenko, I.V. Protasov // Український математичний вісник. — 2007. — Т. 4, № 3. — С. 434-436. — Бібліогр.: 2 назв. — англ. |