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. ecuatorian by Umberto Eco on 2006-07-30 . just .Q:
Why was my question closed as duplicate of “wrong OS” as a Linux question?
I don’t understand why my question was closed. Can someone explain what I’m missing?
A:
It’s been closed as a duplicate of this question about “wrong OS”:
They are different products. Please comment and specify what kind of money your application was costing you and if you had access to a Windows machine if they are the same.
There’s a lot of things wrong with your question.
You didn’t comment on any of those things. For example:
It doesn’t mention what OS you’re using
You’re asking for help changing your application to run on Windows. Your application looks like it’s written for Linux.
It’s possible to ask a similar question about Linux but I think that you’re asking for a Windows fix/answer by asking a general question about Linux.
Q:
Is there a non-normed topological vector space with a countable Hamel basis?
Is there a non-normed topological vector space $V$ with the following properties:
(1) It is Hausdorff and completely regular (i.e. its topology is generated by a Hausdorff base, in particular, every $x\in V$ has a neighborhood base that is compact in the topology induced on $V$ from $\mathbb{R}$ or $\mathbb{C}$).
(2) It has a countable Hamel base.
(3) $V$ is locally convex.
(4) $V$ is complete with respect to the weak topology.
A:
While @Keith Bartlett’s answer is good, one may want to extend this to say that all of the above properties are equivalent. That is, if every topological vector space with countable Hamel basis is Hausdorff, regular, etc., then every topological vector space with a countable Hamel base is Hausdorff, regular, etc.
To show that these properties are not equivalent, there are topological vector spaces with a Hausdorff base with a dense set of cardinality $\leq\mathfrak{c}$ for any uncountable cardinal $\math
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