You have chosen to sponsor your bid up to a maximum amount of .
Math Problem is:
If x is a path-connected topological space then x is connected.
Prove that.... (ie using differential geometry and topology...)
You should be prepared to 'explain' your proof in case I don't understand something, so you can't just find the answer somewhere and give it to me, I'm not interested in just the answer, I want someone to be able to explain the steps in the proof if I need explanation so I understand it also.