
If A A and B B are nontrivial topological groups, not both discrete, such that their free product A ∐ B A\coprod B is a sequential space, then it is sequential of order ω 1 {\omega _1} .
Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, free topological group, Graev group, Mathematics, Applied, sequential space, MATHEMATICS, MATHEMATICS, APPLIED, 2604 Applied Mathematics, Structure of general topological groups, Sequential spaces, Applied, 2600 Mathematics, Fréchet space, free product, Mathematics, topological groups
Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations, free topological group, Graev group, Mathematics, Applied, sequential space, MATHEMATICS, MATHEMATICS, APPLIED, 2604 Applied Mathematics, Structure of general topological groups, Sequential spaces, Applied, 2600 Mathematics, Fréchet space, free product, Mathematics, topological groups
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