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- W3021567495 abstract "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 ω + 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.
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- W3021567495 date "2020-04-28" @default.
- W3021567495 modified "2023-10-14" @default.
- W3021567495 title "Representations of Infinite Tree Sets" @default.
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- W3021567495 doi "https://doi.org/10.1007/s11083-020-09529-0" @default.
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