LEVEL SETS AND EQUIVALENCES OF MORAN-TYPE SETS

(整期优先)网络出版时间:2016-05-15
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Inthepaper,weconsiderMoran-typesetsE_agivenbysequences{a_k}_(k=1)~∞and{n_k}_(k=1)~∞.weprovethatE_amaybedecomposeintothedisjointunionoflevelsets.Moreover,wedefinethreetypeofequivalencebetweentwodimensionfunctionsassociatedtotwoMorantypesets,respectively,andweclassifyMoran-typesetsbytheseequivalentrelations.