Publication detail

Unified approach to graphs and metric spaces

PAVLÍK, J.

English title

Unified approach to graphs and metric spaces

Type

WoS Article

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.

Keywords in English

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

Released

2017-09-22

Publisher

De Gruyter Publishers

ISSN

0139-9918

Journal

Mathematica Slovaca

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",
  journal="Mathematica Slovaca",
  year="2017",
  volume="57",
  number="5",
  pages="1213--1238",
  doi="10.1515/ms-2017-0044",
  issn="0139-9918",
  url="https://www.degruyter.com/view/j/ms.2017.67.issue-5/ms-2017-0044/ms-2017-0044.xml"
}