On some Equivalences on the Class of Tychonoff Spaces
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2008), pp. 5-9
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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
Mots-clés : $l$-equivalence, $t$-equivalence.
Mots-clés : $l$-equivalence, $t$-equivalence.
@article{VTGU_2008_3_a0,
author = {V. R. Lazarev},
title = {On some {Equivalences} on the {Class} of {Tychonoff} {Spaces}},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {5--9},
year = {2008},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2008_3_a0/}
}
V. R. Lazarev. On some Equivalences on the Class of Tychonoff Spaces. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 3 (2008), pp. 5-9. http://geodesic.mathdoc.fr/item/VTGU_2008_3_a0/