The number of convex topologies on a finite totally ordered set

Tyler Clark; Tom Richmond

doi:10.2140/involve.2015.8.25

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Home > Journals > Involve > Volume 8 > Issue 1 > Article

2015 The number of convex topologies on a finite totally ordered set

Tyler Clark, Tom Richmond

Involve 8(1): 25-32 (2015). DOI: 10.2140/involve.2015.8.25

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Abstract

We give an algorithm to find the number $T_{cvx} (n)$ of convex topologies on a totally ordered set $X$ with $n$ elements, and present these numbers for $n \leq 10$ .

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Tyler Clark. Tom Richmond. "The number of convex topologies on a finite totally ordered set." Involve 8 (1) 25 - 32, 2015. https://doi.org/10.2140/involve.2015.8.25

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Received: 19 October 2011; Revised: 14 June 2013; Accepted: 7 August 2013; Published: 2015

First available in Project Euclid: 22 November 2017

zbMATH: 1309.05019

MathSciNet: MR3321707

Digital Object Identifier: 10.2140/involve.2015.8.25

Subjects:

Primary: 05A15 , 06F30 , 54A10 , 54F05

Keywords: convex topology , number of topologies , totally ordered set

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Tyler Clark, Tom Richmond "The number of convex topologies on a finite totally ordered set," Involve: A Journal of Mathematics, Involve 8(1), 25-32, (2015)

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