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2. As a consequence of the last homework, the spiral sliced plane, C{rer:r0} is simply connected. Find a primitive for z1 on this set, taking
2. As a consequence of the last homework, the "spiral sliced plane," C\{rer:r0} is simply connected. Find a primitive for z1 on this set, taking the value 0 at z=1. Optional extension: What if we allow for deletion of more complicated spirals, as in C\ ({0}{rei(r):r>0}), with :(0,)R continuous? 2. As a consequence of the last homework, the "spiral sliced plane," C\{rer:r0} is simply connected. Find a primitive for z1 on this set, taking the value 0 at z=1. Optional extension: What if we allow for deletion of more complicated spirals, as in C\ ({0}{rei(r):r>0}), with :(0,)R continuous
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