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- W52729377 abstract "For each positive ordinal , the reexive and transitive binary relation of -dominance between compacta was rst dened in (6) using the ultracopower construction. Here we consider the important special case = 2, and show that any Peano compactum 2-dominated by a dendrite is itself a dendrite (with the same being true for topological graphs and trees). We also characterize the topological graphs that 2-dominate arcs (resp., simple closed curves) as those that have cut points of order 2 (resp., those that are not trees)." @default.
- W52729377 created "2016-06-24" @default.
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- W52729377 date "2009-01-01" @default.
- W52729377 modified "2023-09-23" @default.
- W52729377 title "Dendrites, topological graphs, and 2-dominance" @default.
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