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Well-Quasi-Order of Relabel Functions

✍ Scribed by Jean Daligault; Michael Rao; Stéphan Thomassé


Book ID
106489729
Publisher
Springer Netherlands
Year
2010
Tongue
English
Weight
455 KB
Volume
27
Category
Article
ISSN
0167-8094

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## Abstract Let 𝒴 be a class of graphs and let ⪯ be the subgraph or the induced subgraph relation. We call ⪯ an __ideal__ (with respect to ⪯) if ⪯ implies that ⪯. In this paper, we study the ideals that are well‐quasiordered by ⪯. The following are our main results. If ⪯ is the subgraph relation, w

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Let (X.U) be a quasi-uniform space and M, its Hausdorff quasi-uniformity defined on the collection PO(X) of all nonempty subsets of X. We show that (PO(X). U,) is compact if and only if (X.U) is compact and (X,,U-'IX,,) is hereditarily precompact where X,,, = {y E X: y is minimal in the (specializa