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.
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On some ideal defined by density topology in the Cantor set
1Department of Mathematics, Gdańsk University, Wita Stwosza 57, 80-952 Gdańsk, Poland
2Department of Mathematics, Gdańsk University, Wita Stwosza 57, 80-952 Gdańsk, Poland
Citation Information: Georgian Mathematical Journal. Volume 19, Issue 1, Pages 93–99, ISSN (Online) 1572-9176, ISSN (Print) 1072-947X, DOI: 10.1515/gmj-2011-0054, February 2012
Publication History:
- Received:
- 2010-12-11
- Published Online:
- 2012-02-29
Keywords.: Density topology; nowhere dense sets; ideal of sets; 
generated ideal
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