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Jan 3, 2023 at 17:24 comment added Maths1999_ Is there a pdf for the book mensioned above?
Dec 3, 2016 at 11:20 comment added ACL But they differ for $G$ trivial (discrete vs coarse), which may be why Alling considers them both. Maybe this unifies some results.
Dec 3, 2016 at 5:53 comment added user05811 I believe you are right. See for example, Efrat, Valuations, Orderings, and Milnor K-Theory, AMS 2006, Section 8.1, p. 75, which gives both bases for the topology. The question whether the field can be ordered or not does not seem to be relevant, as far as I can see.
Dec 3, 2016 at 5:23 comment added Chilote You're right. That's why I'm considering a non trivial group $G$.
Dec 3, 2016 at 4:51 comment added Fan Zheng Now I see, but there is a bug in your inequality when $g=0$.
Dec 3, 2016 at 4:18 comment added Chilote Here every element of a ball is a center of the ball, so that shouldn't be an issue. I have updated the post: actually the families of balls defined there form basis for their topologies.
Dec 3, 2016 at 4:15 history edited Chilote CC BY-SA 3.0
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Dec 3, 2016 at 3:50 comment added Fan Zheng Neighborhoods are not necessarily centered.
Dec 3, 2016 at 0:49 history edited Chilote
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Dec 3, 2016 at 0:34 history asked Chilote CC BY-SA 3.0