The Generalization of "Aleksandrov's Dublicate" of Sorgenfrey Line andSet Rational Points | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2008. № 2 (3).

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The Generalization of "Aleksandrov's Dublicate" of Sorgenfrey Line andSet Rational Points

In this paper we consider the generalization of well-known "Aleksandrov's dublicate". It is proved, that X ⊗ n and X ⊗ m are not homeomorphic for Sorgenfrey line X and for different integers n, m. If X is the rationals, then X ⊗ n and X ⊗ m are homeomorphic for all integers n and m.

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Keywords

Sorgenfrey line , Aleksandrov's dublicate , прямая Зоргенфрея , удвоение по Александрову

Authors

NameOrganizationE-mail
Khmyleva T.E. vestnik_tgu_mm@math.tsu.ru
Всего: 1

References

Энгелькинг Р. Общая топология: Пер. с англ. М.: Мир, 1986.
Гензе Л.В., Хмылева Т.Е. Удвоение по Александрову и его обобщения // Вестник ТГУ. 2003. № 280.
The Generalization of

The Generalization of "Aleksandrov's Dublicate" of Sorgenfrey Line andSet Rational Points | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2008. № 2 (3).

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