# Darboux Theorem

• February 24th 2009, 10:15 AM
Amanda1990
Darboux Theorem
Prove that the set $T = \{(x,y) \in I \times I : x is a connected subset of $\Re^2$ with the standard topology.
• February 25th 2009, 02:25 PM
HenryB
Just note that T is path connected (easy proof) and so connected.