Graphic topology on tournaments
-
Jamel Dammak
und
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.
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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© 2018 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Proceedings of the 22nd Meeting of the Tunisian Mathematical Society
- A note on the behavior of the Dunkl maximal operator
- On the generalized moment separability theorem for type 1 solvable Lie groups
- Graphic topology on tournaments
- The even, the odd, the superalgebras and their derivations
Artikel in diesem Heft
- Frontmatter
- Proceedings of the 22nd Meeting of the Tunisian Mathematical Society
- A note on the behavior of the Dunkl maximal operator
- On the generalized moment separability theorem for type 1 solvable Lie groups
- Graphic topology on tournaments
- The even, the odd, the superalgebras and their derivations
