a) M = {1, 2}. Find the 4 topologies of M. b) Show that R^n\0 is connected only for n other than 1 (with the usual topology of R^n). (Hint: Prove first that M is connected if only if M is not the union of 2 open disjoints.) PLEASE WRITE THE STEP BY STEP AND ANSWER ALL THE PARAGRAPHS.

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