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![[parent]](http://images.planetmath.org:8080/images/uparrow.png) Viewing Correction to 'Baer-Specker group'
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Finitely many nonzero elements? by lars_h
Correction id: 7035
Filed on: 2005-08-25 12:31:52
Status: Accepted on 2005-08-25 13:36:12
Type: Erratum
Correction text:
Did you mean to also state that only finitely many elements are nonzero? Unless you do that, or apply some topology or something, you cannot write arbitrary group elements as sums (implicitly _finite_ sums) of the f_n.
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Comment from object owner CWoo:
Did you mean to also state that only finitely many elements are nonzero? Unless you do that, or apply some topology or something, you cannot write arbitrary group elements as sums (implicitly _finite_ sums) of the f_n.
You are right!! Sorry to cause such a confusion. I realized that the countably infinite direct product of Z is the same as the set of functions from the natural numbers to Z.
Thanks,
Chi |
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