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Metric outer measures of type i in the general setting
Author(s) -
Haase Hermann
Publication year - 1988
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19881350103
Subject(s) - mathematics , measure (data warehouse) , metric (unit) , type (biology) , metric space , monotone polygon , outer space , space (punctuation) , pure mathematics , combinatorics , discrete mathematics , geometry , data mining , computer science , economics , operating system , ecology , operations management , biology
Let τ be a monotone premeasure on a certain paving ϱ of a metric space (X, d ) which is supadditive for metrically separated sets of ϱ. The outer measure μ I of type I as defined in Rogers book [5] by τ is a metric outer measure and agrees with the metric outer measure μ II of [5].