J Austral Math Soc Ser A 57 pp149--157, 1994.

Approximation and Extensions of Continuous Functions

Salvador Hernandez-Munoz

(Received 19 February 1991; revised 1 February 1992)

Abstract

In this paper we study the approximation of vector valued continuous functions defined on a topological space and we apply this study to different problems. Thus we give a new proof of Machado's Theorem. Also we get a short proof of a Theorem of Katetov and we prove a generalization of Tietze's Extension Theorem for vector-valued continuous functions, thereby solving a question left open by Blair.

1991 AMS Subject Classification: primary 54C20, 54C30, 54D60, 46E25; secondary 54C45, 54C99, 46E15

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Authors

Salvador Hernandez-Munoz

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Last Modified: Thu Jan 9 9:04:22 2003