Countably compact sequential topological semigroup with two-sides cancellations is a topological group (in Russian)

Author
A. Yur'eva
Department of Mechanics and Mathematics, Lviv University, Universytetska 1, Lviv, 290000, Ukraine
Abstract
The main result is the assertion proclaimed in the title.
Keywords
countably compact, sequential, topological semigroup, two-sided cancellation
DOI
doi:10.30970/ms.2.1.23-24
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
Volume
2
Issue
1
Year
1993
Journal
Matematychni Studii
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