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- W2963749705 abstract "Let G be a countable group that splits as a free product of groups of the form G = G 1 *···* G k * F N , where F N is a finitely generated free group. We identify the closure of the outer space PO(G, {G 1,..., G k }) for the axes topology with the space of projective minimal, very small (G, {G 1,..., G k })-trees, i.e. trees whose arc stabilizers are either trivial, or cyclic, closed under taking roots, and not conjugate into any of the G i ’s, and whose tripod stabilizers are trivial. Its topological dimension is equal to 3N + 2k − 4, and the boundary has dimension 3N + 2k − 5. We also prove that any very small (G, {G 1,..., G k })-tree has at most 2N + 2k−2 orbits of branch points." @default.
- W2963749705 created "2019-07-30" @default.
- W2963749705 creator A5053072261 @default.
- W2963749705 date "2017-09-01" @default.
- W2963749705 modified "2023-09-26" @default.
- W2963749705 title "The boundary of the outer space of a free product" @default.
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- W2963749705 doi "https://doi.org/10.1007/s11856-017-1565-0" @default.
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