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Required reading. Read, reread and rereread your notes to this point, and make sure that you really, really really, really really really understand everything in them. Do the same every week! Also, read Hatcher's pages 166-176 and 185-217.
Solve the following problems. (But submit only the underlined ones). In Hatcher's book, problems 1, 2, 3, 4, 5, 10, 11 on pages 176-177 ( and are defined on pages 6-7).
Just for fun. Let be a nicely embedded circle in (``nicely'' means smoothly or even piecewise polygonally with finitely many pieces, if you wish). We know that .