Cyclic posets and triangulation clusters

Cyclic posets and triangulation clusters

Triangulated categories coming from cyclic posets were originally introduced by the authors in a previous paper as a generalization of the constructions of various triangulated categories with cluster structures. We give an overview, and then analyze “triangulation clusters” which are those correspo...

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Veröffentlicht in:Science China. Mathematics 2019-07, Vol.62 (7), p.1289-1316
Hauptverfasser: Igusa, Kiyoshi, Todorov, Gordana
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Applications of Mathematics
Cluster analysis
Mathematics
Mathematics and Statistics
Set theory
Topology
Triangulation
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Todorov, Gordana
description Triangulated categories coming from cyclic posets were originally introduced by the authors in a previous paper as a generalization of the constructions of various triangulated categories with cluster structures. We give an overview, and then analyze “triangulation clusters” which are those corresponding to topological triangulations of the 2-disk. Locally finite nontriangulation clusters give topological triangulations of the “cactus space” associated to the “cactus cyclic poset”.
doi_str_mv 10.1007/s11425-018-9507-3
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subjects Applications of Mathematics
Cluster analysis
Mathematics
Mathematics and Statistics
Set theory
Topology
Triangulation
title Cyclic posets and triangulation clusters
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