On the continuity of functions

• Autor(es): Almeida, R
• Data: 2007
• Identificador Persistente: http://hdl.handle.net/10773/4148
• Origem: RIA - Repositório Institucional da Universidade de Aveiro
• Assunto(s): Nonstandard Analysis; Convex functions; Continuity; Compact Set; Convex Set
• Tipo de Documento: Artigo
• Idioma: Inglês

Descrição

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. CEOC FCT FEDER/POCTI