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Title: On the continuity of functions
Author: Almeida, R
Keywords: Nonstandard Analysis
Convex functions
Compact Set
Convex Set
Issue Date: 2007
Publisher: Balkan Society of Geometers
Abstract: Some theorems on continuity are presented. First we will prove that every convex function f :Rn -> R is continuous using nonstandard analysis methods. Then we prove that if the image of every compact (resp. convex) is compact (resp. convex), then the function is continuous.
Peer review: yes
ISSN: 1454-5101
Appears in Collections:MAT - Artigos

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