The Lindelöf number greater than continuum is u-invariant

Arbit, A. V.. "The Lindelöf number greater than continuum is u-invariant." Serdica Mathematical Journal 37.2 (2011): 143-162. <http://eudml.org/doc/281559>.

@article{Arbit2011,
abstract = {2000 Mathematics Subject Classification: 54C35, 54D20, 54C60.Two Tychonoff spaces X and Y are said to be l-equivalent (u-equivalent) if Cp(X) and Cp(Y) are linearly (uniformly) homeomorphic. N. V. Velichko proved that countable Lindelöf number is preserved by the relation of l-equivalence. A. Bouziad strengthened this result and proved that any Lindelöf number is preserved by the relation of l-equivalence. In this paper it has been proved that the Lindelöf number greater than continuum is preserved by the relation of u-equivalence.},
author = {Arbit, A. V.},
journal = {Serdica Mathematical Journal},
keywords = {Function Spaces; u-equivalence; u-invariant; Lindelöf Number; Set-Valued Mappings; Function spaces; -equivalence; -invariant; Lindelöf number; set-valued mappings},
language = {eng},
number = {2},
pages = {143-162},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {The Lindelöf number greater than continuum is u-invariant},
url = {http://eudml.org/doc/281559},
volume = {37},
year = {2011},
}

TY - JOUR
AU - Arbit, A. V.
TI - The Lindelöf number greater than continuum is u-invariant
JO - Serdica Mathematical Journal
PY - 2011
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 37
IS - 2
SP - 143
EP - 162
AB - 2000 Mathematics Subject Classification: 54C35, 54D20, 54C60.Two Tychonoff spaces X and Y are said to be l-equivalent (u-equivalent) if Cp(X) and Cp(Y) are linearly (uniformly) homeomorphic. N. V. Velichko proved that countable Lindelöf number is preserved by the relation of l-equivalence. A. Bouziad strengthened this result and proved that any Lindelöf number is preserved by the relation of l-equivalence. In this paper it has been proved that the Lindelöf number greater than continuum is preserved by the relation of u-equivalence.
LA - eng
KW - Function Spaces; u-equivalence; u-invariant; Lindelöf Number; Set-Valued Mappings; Function spaces; -equivalence; -invariant; Lindelöf number; set-valued mappings
UR - http://eudml.org/doc/281559
ER -