On some Equivalences on the Class of Tychonoff Spaces | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2008. № 3 (4).

HomeIssuesOn some Equivalences on the Class of Tychonoff Spaces | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2008. № 3 (4).

On some Equivalences on the Class of Tychonoff Spaces

Some method, generating the equivalence relations between Tychonoff spaces, is presented. It is shown, that l-, u-, and t-equivalences are particular cases of this general construction. The new examples of equivalences, preserving compactness, Lindelöf number and dimension, are given.

Download file
Counter downloads: 304

Keywords

t-equivalence , l-equivalence , the space of continuous functions , t-эквивалентность , l-эквивалентность , пространство непрерывных функций

Authors

NameOrganizationE-mail
Lazarev V.R. lazarev@math.tsu.ru
Всего: 1

References

Лазарев В.Р. О полиномиальных гомеоморфизмах пространств непрерывных функций // Вестник ТГУ. Математика и механика. 2007. № 1. С. 28 - 32.
Архангельский А.В. Топологические пространства функций. М.: Изд-во МГУ, 1989.
On some Equivalences on the Class of Tychonoff Spaces | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2008. № 3 (4).

On some Equivalences on the Class of Tychonoff Spaces | Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics. 2008. № 3 (4).

Download file