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What is an example of a non-paracompact tvstopological vector space? I'm aware of this question, but I don't care if my tvs is locally convex. In fact the wilder the better. The only criterion is that it should be contractible, which it would be, assuming $\mathbb{R} \times V \to V$ is continuous. This is in order to answer this other question. |
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I know this What is an example of a basic question, but bear with me.non-paracompact tvs? I'm aware of this question, but I don't care if my tvs is locally convex. In fact the wilder the better. The only criterion is that it should be contractible, which it would be, assuming $\mathbb{R} \times V \to V$ is continuous. This is in order to answer this other question. |
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An example of a non-paracompact tvs (over the reals, say)I know this is a basic question, but bear with me. I'm aware of this question, but I don't care if my tvs is locally convex. In fact the wilder the better. The only criterion is that it should be contractible, which it would be, assuming $\mathbb{R} \times V \to V$ is continuous. This is in order to answer this other question.
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