Result Details

Unified approach to graphs and metric spaces

PAVLÍK, J. Unified approach to graphs and metric spaces. Mathematica Slovaca, 2017, vol. 57, no. 5, p. 1213-1238. ISSN: 0139-9918.
Type
journal article
Language
English
Authors
Pavlík Jan, Mgr., Ph.D., IM DAAG (FME)
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

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

URL
Published
2017
Pages
1213–1238
Journal
Mathematica Slovaca, vol. 57, no. 5, ISSN 0139-9918
Publisher
De Gruyter Publishers
DOI
10.1515/ms-2017-0044
UT WoS
000414656000013
EID Scopus
2-s2.0-85030558666
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"
}
Departments
Institute of Mathematics (IM)
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