a) If A and B are connected in R and A B 0, prove that
Question:
b) If {Ea}aˆˆA is a collection of connected sets in R" and ˆ©aˆˆAEa ‰ 0, prove that
is connected.
c) If A and B are connected in R and A ˆ© B ‰ θ, prove that A ˆ© B is connected.
d) Show that part c) is no longer true if R2 replaces R.
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