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Licensed Unlicensed Requires Authentication Published by De Gruyter March 17, 2018

Graphic topology on tournaments

  • Jamel Dammak EMAIL logo and Rahma Salem

Abstract

Alexandroff 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.

MSC 2010: 05C20; 54D05; 54D10

Funding statement: We would also like to thank Campus France for support through PHC Maghreb program.

Acknowledgements

We sincerely thank the anonymous reviewer for constructive criticisms and valuable comments that much improved the manuscript.

References

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Received: 2017-03-21
Revised: 2017-12-12
Accepted: 2017-12-28
Published Online: 2018-03-17
Published in Print: 2018-10-01

© 2018 Walter de Gruyter GmbH, Berlin/Boston

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