Mathematics Homework Solutions
#151237
Connected Annulus
Prove the annulus A={z in (the set)R^2 : r <= |z| <= R} is connected.
Is it sufficient to show that the annulus is homomorphic to the circle, and then since circle is connected, so is the annulus ? If so, how do you show it, if not, can you shed light on another method?
A connected annulus is investigated.
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