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Can someone give me some guidance with this problem? Thanks.

Suppose that $A, B \subset \mathbb{R}$ are convex, closed, and have non-empty interiors.

  1. Prove that $A, B$ are the closure of their interiors.
  2. If $A, B$ are compact, prove that they are homeomorphic.
user2097
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r123454321
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    http://math.stackexchange.com/questions/7376/why-does-a-convex-set-have-the-same-interior-points-as-its-closure and http://math.stackexchange.com/questions/165629/proof-that-convex-open-sets-in-mathbbrn-are-homeomorphic – Prahlad Vaidyanathan Oct 03 '13 at 04:21
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    Is there a typo in the title of this question? (What is R2?) – user642796 Oct 03 '13 at 09:36
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    I think it's meant to be R in both title and question, or R^2 in both . You can also put R^n for any finite n, in both. – DanielWainfleet Aug 02 '15 at 18:44

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