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On group uniformities on square of a space and extending pseudometrics II
Published online by Cambridge University Press: 17 April 2009
Abstract
We find topological conditions on a space X under which the left (right, or two-sided) uniformity of the free topological group F(X) induces the universal uniformity or the product uniformity ux × ux on the square of X. Special attention is given to kω metrisable spaces. The main technical tool in the paper is an extension of certain continuous pseudometrics from X2 to F(X) considered by the author in the previous volume of this journal.
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- Copyright © Australian Mathematical Society 1995
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