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Schmidt Game and Fat Cantor Sets.
- Source :
-
AIP Conference Proceedings . 2016, Vol. 1738 Issue 1, p260005-1-260005-3. 3p. - Publication Year :
- 2016
-
Abstract
- We study a class of Cantor sets in [0;1]. We show that the complement of the Cantor set is winning for Schmidt game if and only if the Cantor set is not "fat". This provides some open dense sets of full Lebesgue measure that are not winning for Schmidt game. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CANTOR sets
*SCHMIDT reaction
*LEBESGUE measure
*TOPOLOGY
*MEASURE theory
Subjects
Details
- Language :
- English
- ISSN :
- 0094243X
- Volume :
- 1738
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- AIP Conference Proceedings
- Publication Type :
- Conference
- Accession number :
- 116125765
- Full Text :
- https://doi.org/10.1063/1.4952038