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Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2008, Number 3(4), Pages 5–9
(Mi vtgu108)
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MATHEMATICS
On some Equivalences on the Class of Tychonoff Spaces
V. R. Lazarev Tomsk State University, Faculty of Mechanics and Mathematics
Abstract:
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.
Keywords:
the space of continuous functions, $l$-equivalence, $t$-equivalence.
Accepted: October 16, 2008
Citation:
V. R. Lazarev, “On some Equivalences on the Class of Tychonoff Spaces”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2008, no. 3(4), 5–9
Linking options:
https://www.mathnet.ru/eng/vtgu108 https://www.mathnet.ru/eng/vtgu/y2008/i3/p5
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Statistics & downloads: |
Abstract page: | 126 | Full-text PDF : | 62 | First page: | 1 |
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