(3) Prove that the two Riemann surfaces D: {z e C:|z| < 1} and H:= {w€C: I(w) > 0} are equivalent.

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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(3) Prove that the two Riemann surfaces D: {z e C:|z| < 1} and H:= {w€C:
I(w) > 0} are equivalent.
(4) Prove that the surfaces T2HRP2 and RP2 HRP²#RP² are topologically equiv-
alent. Cf. [Donl1, Chapter 2, Lemma 1].
Transcribed Image Text:(3) Prove that the two Riemann surfaces D: {z e C:|z| < 1} and H:= {w€C: I(w) > 0} are equivalent. (4) Prove that the surfaces T2HRP2 and RP2 HRP²#RP² are topologically equiv- alent. Cf. [Donl1, Chapter 2, Lemma 1].
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