0000000000932128

AUTHOR

Franciszek Prus-wiśniowski

0000-0002-0275-6122

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The arithmetic decomposition of central Cantor sets

2018

Abstract Every central Cantor set of positive Lebesgue measure is the arithmetic sum of two central Cantor sets of Lebesgue measure zero. Under some mild condition this result can be strengthened by stating that the summands can be chosen to be C s regular if the initial set is of this class.

Class (set theory)Mathematics::Dynamical SystemsLebesgue measureApplied Mathematics010102 general mathematicsZero (complex analysis)Analysi02 engineering and technology01 natural sciencesCentral Cantor setCantor setCombinatoricsSet (abstract data type)Arithmetic progression0202 electrical engineering electronic engineering information engineeringDecomposition (computer science)Palis hypothesiArithmetic decomposition020201 artificial intelligence & image processing0101 mathematicsComputer Science::DatabasesAnalysisMathematicsJournal of Mathematical Analysis and Applications
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