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The Packing Theorem and Packing Measure
Author(s) -
Haase Hermann
Publication year - 1990
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.19901460307
Subject(s) - mathematics , measure (data warehouse) , sphere packing , packing problems , metric (unit) , circle packing , class (philosophy) , space (punctuation) , metric space , combinatorics , discrete mathematics , geometry , data mining , computer science , operations management , artificial intelligence , economics , operating system
For a V ITALI class of a metric space ( X, d ) a packing measure is introduced following the ideas of [7]. The Packing Theorem of V ITALI is a powerful mean to derive density results for measures [1, 2, 3]. Conversely, the notion of packing measure allows us to give sufficient conditions for a measure that the packing theorem of V ITALI hods.