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zbMATH Open
Article . 1988
Data sources: zbMATH Open
Proceedings of the American Mathematical Society
Article . 1988 . Peer-reviewed
Data sources: Crossref
Proceedings of the American Mathematical Society
Article . 1988 . Peer-reviewed
Data sources: Crossref
UQ eSpace
Article . 1988
Data sources: UQ eSpace
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Sequential Conditions and Free Products of Topological Groups

Sequential conditions and free products of topological groups
Authors: Morris, SA; Thompson, HB;

Sequential Conditions and Free Products of Topological Groups

Abstract

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} .

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Australia
Related Organizations
Keywords

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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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
bronze