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- W2970363417 abstract "Tree sets are abstract structures that can be used to model various tree-shaped objects in combinatorics. Finite tree sets can be represented by finite graph-theoretical trees. We extend this representation theory to infinite tree sets. First we characterise those tree sets that can be represented by tree sets arising from infinite trees; these are precisely those tree sets without a chain of order type ${omega+1}$. Then we introduce and study a topological generalisation of infinite trees which can have limit edges, and show that every infinite tree set can be represented by the tree set admitted by a suitable such tree-like space." @default.
- W2970363417 created "2019-09-05" @default.
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- W2970363417 date "2019-08-27" @default.
- W2970363417 modified "2023-09-27" @default.
- W2970363417 title "Representations of infinite tree-sets" @default.
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