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Separation systems are posets with additional structure that form an abstract setting in which tangle-like clusters in graphs, matroids and other combinatorial structures can be expressed and studied. This paper… Click to show full abstract
Separation systems are posets with additional structure that form an abstract setting in which tangle-like clusters in graphs, matroids and other combinatorial structures can be expressed and studied. This paper offers some basic theory about infinite separation systems and how they relate to the finite separation systems they induce. They can be used to prove tangle-type duality theorems for infinite graphs and matroids, which will be done in future work that will build on this paper.
Keywords:
separation;
separation systems;
profinite separation
Journal Title: Order
Year Published: 2020
Link to full text (if available)
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Journal Title: Order
Year Published: 2020
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!