Paratopological groups, I |
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| Author |
Faculty of Mechanics and Mathematics, Lviv National University, Universytetska 1, Lviv, 79000, Ukraine
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| Abstract |
We consider properties of paratopological groups, in particular,
related to cardinal invariants, metrization, and minimality. An example
of a regular paratopological group admitting no weaker Hausdorff group topology
is presented.
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| Keywords |
paratopological groups, topological groups, cardinal invariants, metrization, minimality, Hausdorff topology
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| DOI |
doi:10.30970/ms.16.1.37-48
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Reference |
1. Понтрягин Л. С. Непрерывные группы, 2-е изд., М., 1954.
2. Porter K. F. The open-open topology for function spaces, Internat. J. Math & Math. Sci. 16 (1993), no.1, 111–116. 3. Бурбаки Н. Общая топология. Основные структуры, М.: Гос. изд. физ.-мат. лит., 1958. 4. Guran I. Some open problems in the theory of topological groups and semigroups, Matematychni Studii 10 (1998), № 2, 223–224. 5. Линдон Р., Шупп П. Комбинаторная теория групп, M.:Мир, 1980. |
| Pages |
37-48
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| Volume |
16
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| Issue |
1
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| Year |
2001
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| Journal |
Matematychni Studii
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| Full text of paper | |
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