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Characterizing quasi-metric aggregation functions [PDF]

open access: yesInternational Journal of General Systems, 2019
In this paper, we study those functions that allows us to combine a family of quasi-metrics, defined all of them on the same set, into a single one, which will be called quasi-metric aggregation functions.
J. Miñana, Ó. Valero
semanticscholar   +3 more sources

On entropy on quasi-metric spaces

Topology and its Applications, 2023
The classical notion of topological entropy \(h_U\) by \textit{R. Bowen} [Trans. Am. Math. Soc. 153, 401--414 (1971; Zbl 0212.29201)] for uniformly continuous self-maps of metric spaces is extended to uniformly continuous self-maps of quasi-metric spaces.
P. Haihambo, O. Olela Otafudu
semanticscholar   +3 more sources

A non quasi-metric completion for quasi-metric spaces

open access: yes, 1999
Within the realm of approach spaces the authors develop, via the use of suitable nearness concepts, a completion theory and apply this to complete quasimetric spaces. In particular, for approach spaces \(X\) they introduce the concepts of near collections, clusters (= maximal near collections) and completeness (i.e., every cluster converges) and ...
Lowen, R., Vaughan, D.
openaire   +5 more sources

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