fom
Posts:
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Registered:
12/4/12


Re: Connected?
Posted:
May 4, 2013 11:06 PM


On 5/4/2013 8:39 PM, William Elliot wrote: > Let S = ([0,1] /\ Q)x[1,0] \/ ([0,1] /\ R\Q)x[0,1]. > > S appears to be connected but not path connected. > Is that correct? How would you proof it? >
I must be reading your notation incorrectly.
Doesn't this set contain
[0,1]x[0]
as a line segment?
If so, wouldn't that facilitate a continuous path between any two points consisting of a polygonal path with at most three segments?

