Free groups, symmetric and reduced products
1979 ◽
Vol 28
(2)
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pp. 174-178
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Keyword(s):
AbstractWe show that, for any Tychonoff space X with base point θ, the infinite symmetric product SP∞ X of X is a subspace of an abelian group A(X) generated by X. (This clarifies the continuity of the multiplication in SP∞ X.) Furthermore, SP∞ X is a retract of A(X). Analogous results hold for reduced product spaces, with respect to non-abelian groups.Subject classification (Amer. Math. Soc. (MOS) 1970): primary 22 A 99; secondary 54 B 15.
2018 ◽
Vol 167
(02)
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pp. 229-247
Keyword(s):
1995 ◽
Vol 44
(2)
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pp. 395-402
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Keyword(s):
2011 ◽
Vol 10
(03)
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pp. 377-389
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2017 ◽
Vol 16
(10)
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pp. 1750200
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1981 ◽
Vol 90
(2)
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pp. 273-278
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