Prove that the following sets are closed sets of the Zariski topology? (a) A = {(x,...

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Prove that the following sets are closed sets of the Zariski topology? (a) A = {(x, y) E ARIIXI = ly 1} (b) B = {(e²+1, e-2z) E AZIZEC} (c) C = {(sint, cos t, t) E A³ Ite k} 3 (d) D = {(t, t², +3³) € A³ Itek} E Prove that the following sets are closed sets of the Zariski topology? (a) A = {(x, y) E ARIIXI = ly 1} (b) B = {(e²+1, e-2z) E AZIZEC} (c) C = {(sint, cos t, t) E A³ Ite k} 3 (d) D = {(t, t², +3³) € A³ Itek} E

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Here are the proofs a A is the set of points satisfying the polynomial equation x ... View the full answer