On some ideal defined by density topology in the Cantor set

Marta Frankowska; Andrzej Nowik

doi:10.1515/gmj-2011-0054

Published by De Gruyter February 29, 2012

On some ideal defined by density topology in the Cantor set

Marta Frankowska and Andrzej Nowik

From the journal Georgian Mathematical Journal

https://doi.org/10.1515/gmj-2011-0054

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Abstract.

We prove that the ideal defined in the Cantor space is not generated. This answers a question of Z. Grande and E. Strońska in the case of the Cantor space.

Keywords.: Density topology; nowhere dense sets; ideal of sets; generated ideal

Received: 2010-12-11

Published Online: 2012-02-29

Published in Print: 2012-March

On some ideal defined by density topology in the Cantor set

Abstract.

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