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Analysis and Topology, Lviv - 2008
May 26 - June 7, 2008
Ivan Franko National University of Lviv
Lviv, Ukraine

Organizers
M.Zarichnyi, O.Skaskiv, T.Banakh (Lviv University)

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Luzin and Sierpinski Sets
by
Lev Bukovský
Institute of Mathematics, P. J. Šafárik University, Košice

Many modifications of the classical notions of a Luzin and a Sierpinski sets are investigated in literature. The famous result by Rothberger says that the existence of both classical Luzin and Sierpinski sets implies the continuum hypothesis. We present a general result of this kind for modified notions.

The work has been supported by the grant 1/3002/06 of Slovak Grant Agency VEGA.

Date received: May 7, 2008

Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cawm-52.