Journal of Formalized Mathematics
Volume 13, 2001
University of Bialystok
Copyright (c) 2001 Association of Mizar Users

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

The terminology and notation used in this paper have been introduced in the following articles [17] [19] [2] [18] [1] [20] [8] [9] [14] [12] [11] [15] [13] [7] [16] [10] [3] [4] [5] [6]

Contents (PDF format)

Bibliography

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Received February 16, 2001


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