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On J. Deák's construction for quasi-uniform extensions
Császár, Ákos
1999
Abstract
Let (X,$\mathcal{U}$) be a quasi-umform space, Y $\supset$ X, $\mathcal{T}$
a topology on Y. An extension compatible with ($\mathcal{U}$,$\mathcal{T}$)
is a quasiuniformity $\mathcal{W}$ on Y such that the restriction
$\mathcal{W}\mid$ X of $\mathcal{W}$ to X coincides with $\mathcal{U}$
and the topology $\mathcal{W}^{tp}$ induced by $\mathcal{W}$ equals
$\mathcal{T}$. The paper $\left[1\right]$ contains a construction
of such extensions. The purpose of the present paper is to give some
applications of the result in $\left[1\right]$. Without explicit
mention of the contrary, we shall use the terminology and notation
of $\left[2\right]$.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
30 (1999) suppl.
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Ákos Császár, "On J. Deák's construction for quasi-uniform extensions", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 30 (1999) suppl., pp. 87-90.
Languages
en
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