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The Uniform Closure of Rational Modules
Author(s) -
Trent Tavan T.,
Wang James L.
Publication year - 1981
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/13.5.415
Subject(s) - mathematics , closure (psychology) , function (biology) , combinatorics , pure mathematics , evolutionary biology , economics , market economy , biology
For a smooth function g , the module R( X )+ g R( X ) is dense in C ( X ) if and only if R( Z ) is dense in C ( Z ), where X is compact and nowhere dense and Z is the subset of X on which ∂ g vanishes. The “localness” of the module R( X )+ g R( X ) is also investigated.