Publication detail

Unified approach to graphs and metric spaces

PAVLÍK, J.

English title

Unified approach to graphs and metric spaces

Type

journal article in Web of Science

Language

en

Original abstract

The paper provides a generalization of a metric with values in a general structure. Quantales and special kinds of ordered monoids are shown to be suitable for this purpose. Topological and categorical properties of spaces with such generalized metrics are studied and a special emphasis is given on paths in these spaces.

English abstract

The paper provides a generalization of a metric with values in a general structure. Quantales and special kinds of ordered monoids are shown to be suitable for this purpose. Topological and categorical properties of spaces with such generalized metrics are studied and a special emphasis is given on paths in these spaces.

Keywords in English

ordered monoid; generalized effect algebra; generalized metric space; path

Released

22.09.2017

Publisher

De Gruyter Publishers

ISSN

0139-9918

Volume

57

Number

5

Pages from–to

1213–1238

Pages count

26

BIBTEX


@article{BUT142880,
  author="Jan {Pavlík},
  title="Unified approach to graphs and metric spaces",
  year="2017",
  volume="57",
  number="5",
  month="September",
  pages="1213--1238",
  publisher="De Gruyter Publishers",
  issn="0139-9918"
}