Asymmetric Topology and its Applications

Area 01 – Scienze matematiche e informatiche

This special issue of “quaderni di matematica” is devoted to asymmetric topology. This branch of mathematics studies those topological structures which do not verify a symmetry axiom. The origins of the theory are closely related to the bird of metric (Fréchet, 1906). The year before, Pompeiu made use of metric between sets which was not symmetric, wich now is known as the excess between two sets. This seems to be the first appearance of a quasi-metric in the literature. Nevertheless, the seminal work of Hausdroff “Grundzüge der Mengenlehre” favorated the dissemination of a metric between closed and bounded sets constructed by means of the excess distance of Pompeiu. This metric is the so-called Hausdorff metric.

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