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The representation of weighted quasimetric spaces
Vitolo, Paolo
1999
Abstract
We show that every weighted quasi-metric space can
be identified with a subspace of a space of some canonical type,
which is constructed from a metric space.
We also present a very simple method to construct a weighted
quasi-metric space, as the graph of a function defined on a metric
space, and show that every weighted quasi-metric space arises in
this way.
Similar results may be obtained if we drop the requirement that
the weight function have nonnegative values.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
31 (1999)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
Paolo Vitolo, "The representation of weighted quasimetric spaces", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 31 (1999), pp. 95-100.
Languages
en
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