# The Lindelöf number greater than continuum is u-invariant

Serdica Mathematical Journal (2011)

- Volume: 37, Issue: 2, page 143-162
- ISSN: 1310-6600

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topArbit, 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 -

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