Open AccessA generalized σ‐porous set with a small complement
Author(s) -
Jaroslav Tišer
Publication year - 2005
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/aaa.2005.535
Subject(s) - mathematics , complement (music) , banach space , measure (data warehouse) , set (abstract data type) , space (punctuation) , pure mathematics , zero (linguistics) , porosity , discrete mathematics , data mining , composite material , gene , biochemistry , chemistry , complementation , computer science , programming language , phenotype , linguistics , philosophy , materials science
We show that in every Banach space, there is a g-porous set, the complement of which is of ℋ1-measure zero on every C1 curve
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