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A Universal Factorization Theorem in Topology

Published online by Cambridge University Press:  20 November 2018

R. Sharpe ,
M. Beattie  and
J. Marsden
R. Sharpe
Affiliation:
The University of Toronto
M. Beattie
Affiliation:
The University of Toronto
J. Marsden
Affiliation:
The University of Toronto
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The purpose of this paper is to prove and generalize the following theorem: Given any topological space X, of all the T2 spaces Z which are continuous images of X, there is a maximal one Y; that is, one over which all others factor, as in Figure 1.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 2 , June 1966 , pp. 201 - 207
Copyright
Copyright © Canadian Mathematical Society 1966