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Recent progress on characterizing lattices C(X) and U(Y )
Hušek, Miroslav
Pulgarín, Antonio
2013
Abstract
Our effort to weaken algebraic assumptions led us to obtain
characterizations of C(X) as Riesz spaces, real l-groups, semi-affine
lattices and real lattices by using different techniques. We present a unified
approach valid for any “convenient” category. By setting equivalent
conditions to equi-uniform continuity, we obtain a characterization of
the lattice U(Y ) in parallel with that of C(X).
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
45 (2013)
Publisher
EUT Edizioni Università di Trieste
Source
Miroslav Hušek and Antonio Pulgarín, "Recent progress on characterizing lattices C(X) and U(Y )", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 45 (2013), pp. 83–96.
Languages
en
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