Countably compact sequential topological semigroup with two-sides cancellations is a topological group (in Russian) |
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| Author |
Department of Mechanics and Mathematics, Lviv University, Universytetska
1, Lviv, 290000, Ukraine
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| Abstract |
The main result is the assertion proclaimed in the title.
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| Keywords |
countably compact, sequential, topological semigroup, two-sided cancellation
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| DOI |
doi:10.30970/ms.2.1.23-24
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Reference |
1. Comfort W.W. Problems on topological groups and other homogeneous spaces. Open problems in topology. J. van Mill and G.M.Reed (editors). North-Holland: Elsevier Science Publishers B.V., 1990. P.314–347.
2. Mukherjea A., Tserpes N.A. A note on countably compact semigroups // J. Austral. Math. Soc. 1972. V.13. P.180–184. 3. Nyikos P.J. Metrizability and Fréchet-Urysohn property in topological groups // Proc. Amer. Math. Soc. 1981. V.83, N.4. P.793–801. 4. Numakura K. On bicompact semigroups // Math. J. Okayama Univ. 1952. V.1. P.99–108. 5. Wallace A.D. The structure of topological semigroups // Bull. Amer. Math. Soc. 1955. V.61. P.95–112. 6. Хьюитт Э., Росс К. Абстрактный гармонический анализ, T.1.–M.:Наука, 1975. 7. Энгелькинг Р. Общая топология.–M.:Мир, 1986. Department of Mechanics and Mathematics, Lviv University, Universytetska 1, Lviv, 290000, Ukraine |
| Pages |
23-24
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| Volume |
2
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| Issue |
1
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| Year |
1993
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| Journal |
Matematychni Studii
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| Full text of paper | |
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