Understanding connected point sets. - Prove whether the following is true or false. If it is false give a counter example.
If F is a collection, each element of which is a connected point set and each point set in F contains a limit po ...
Understanding nondegenerates. - If M is a nondegenerate connected point set, then is each point in M a limit point of M?
Understanding connected point sets. - Prove whether the following is true or false. If it is false give a counter example.
If F is a collection, each element of which is a point set such that if X and Y are elements of F then X U Y is ...
Connected Set Topology on R^2 Q^2 - Let S = R^2 Q^2. Points (x,y) in S have at least one irrational coordinate.
Is S connected? Can we disprove with a counterexample?
Proof - Prove true or false, if false give a counter example.
If each point in the point set M is a limit point of M, then M is connected.