The Urysohn Lemma

Jozef Bialas

Lodz University

Yatsuka Nakamura

Shinshu University, Nagano

Summary.

This article is the third part of a paper proving the fundamental Urysohn Theorem concerning the existence of a real valued continuous function on a normal topological space. The paper is divided into two parts. In the first part, we describe the construction of the function solving thesis of the Urysohn Lemma. The second part contains the proof of the Urysohn Lemma in normal space and the proof of the same theorem for compact space.

MML Identifier: URYSOHN3

Contents (PDF format)

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