Prove that the set $\displaystyle T = \{(x,y) \in I \times I : x<y\} $ is a connected subset of $\displaystyle \Re^2$ with the standard topology.
Last edited by Amanda1990; Feb 26th 2009 at 12:42 AM.
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Just note that T is path connected (easy proof) and so connected.
Last edited by HenryB; Feb 26th 2009 at 12:43 AM.
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