Automatic Continuity for Homomorphisms into Free Products
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AbstractA homomorphism from a completely metrizable topological group into a free product of groups whose image is not contained in a factor of the free product is shown to be continuous with respect to the discrete topology on the range. In particular, any completely metrizable group topology on a free product is discrete.
2006 ◽
Vol 81
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pp. 199-208
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1999 ◽
Vol 42
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pp. 559-574
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1993 ◽
Vol 36
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pp. 296-302
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1976 ◽
Vol 80
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pp. 451-463
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1971 ◽
Vol 69
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pp. 13-23
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1991 ◽
Vol 33
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pp. 373-387
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1969 ◽
Vol 1
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pp. 11-13
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1989 ◽
Vol s3-59
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pp. 507-540
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1965 ◽
pp. 372-375
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