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Graphic topology on tournaments

Graphic topology on tournaments AbstractAlexandroff spaces are the topological spaces in which the intersection of arbitrary many open sets is open.Let T be an indecomposable tournament.In this paper, first, we associate a trivial topology to T.Then we define another topology on T, called the graphic topology of T, and we show that it is an Alexandroff topology.Our motivation is to investigate some properties of this topology. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Pure and Applied Mathematics de Gruyter

Graphic topology on tournaments

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Publisher
de Gruyter
Copyright
© 2018 Walter de Gruyter GmbH, Berlin/Boston
ISSN
1869-6090
eISSN
1869-6090
DOI
10.1515/apam-2018-0024
Publisher site
See Article on Publisher Site

Abstract

AbstractAlexandroff spaces are the topological spaces in which the intersection of arbitrary many open sets is open.Let T be an indecomposable tournament.In this paper, first, we associate a trivial topology to T.Then we define another topology on T, called the graphic topology of T, and we show that it is an Alexandroff topology.Our motivation is to investigate some properties of this topology.

Journal

Advances in Pure and Applied Mathematics – de Gruyter

Published: Oct 1, 2018

References

  • Alexandroff toplogy on graphs
  • Indecomposability and duality of tournaments