Big free groups are almost free
2015 ◽
Vol 25
(05)
◽
pp. 855-864
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Keyword(s):
It is shown that the big free group (the set of countably-long words over a countable alphabet) is almost free, in the sense that any function from the alphabet to a compact topological group factors through a homomorphism. This statement is in fact a simple corollary of the more general result proven below on the extendability of homomorphisms from subgroups (of a certain kind) of the big free group to a compact topological group.
2008 ◽
Vol 78
(1)
◽
pp. 171-176
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1949 ◽
Vol 1
(2)
◽
pp. 187-190
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Keyword(s):
1998 ◽
Vol 41
(2)
◽
pp. 325-332
◽
2019 ◽
Vol 12
(2)
◽
pp. 590-604
2015 ◽
Vol 159
(1)
◽
pp. 89-114
◽
Keyword(s):
Keyword(s):
1981 ◽
Vol 24
(2)
◽
pp. 129-136
◽
Keyword(s):