Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/2727

 Title: The Lindelöf number greater than continuum is u-invariant Authors: Arbit, A. V. Keywords: Function Spacesu-equivalenceu-invariantLindelöf NumberSet-Valued Mappings Issue Date: 2011 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 37, No 2, (2011), 143p-162p Abstract: 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. Description: 2000 Mathematics Subject Classification: 54C35, 54D20, 54C60. URI: http://hdl.handle.net/10525/2727 ISSN: 1310-6600 Appears in Collections: Volume 37, Number 2

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