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Jan 22, 2012 at 15:31 comment added Marc Palm ... not that $G_i$ are compact implies that the product is compact. It is often an issue that this is not true for locally compact. here, one prefers the restricted product.
Feb 14, 2010 at 1:48 comment added Pete L. Clark "...nonempty family of NONEMPTY topological spaces" :)
Feb 14, 2010 at 1:47 history edited Pete L. Clark CC BY-SA 2.5
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Feb 13, 2010 at 23:12 comment added Pete L. Clark It is true though that some nice properties of topological spaces are lost by taking uncountable products. For instance, given a nonempty family of topological spaces, uncountably many of which are not endowed with the trivial topology, the product is not first-countable. In particular, metrizability is lost in uncountable products.
Feb 13, 2010 at 18:30 history edited Harry Gindi CC BY-SA 2.5
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Feb 13, 2010 at 18:29 vote accept commonname
Feb 13, 2010 at 18:20 answer added user717 timeline score: 10
Feb 13, 2010 at 18:11 comment added Harry Gindi The tag [topological-groups] already exists. I edited your question for you though.
Feb 13, 2010 at 18:11 history edited Harry Gindi
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Feb 13, 2010 at 18:03 history asked commonname CC BY-SA 2.5