## MA 331: Topology

Homework Schedule
 Date Assigned Date Due Assignment Wed. Feb. 4 Fri. Feb. 6 Point-Set Notes: Prepare through 1.11. Fri. Feb. 6 Mon. Feb. 9 Point-Set Notes: Prepare through 1.16. You may skip 1 problem of your choice. Mon. Feb. 9 Wed. Feb. 11 Point-Set Notes: Prepare through 1.22. You may skip 1 problem of your choice. Wed. Feb. 11 Fri. Feb. 13 Point-Set Notes: Prepare through 1.26. Fri. Feb. 13 Mon. Feb. 16 Point-Set Notes: Read through 2.15 Prepare either 2.2 or 2.3 Prepare 2.7 and 2.8. Try 2.14 (Hint: think geometrically) Do 2.15: you do not need to derive the formulae for stereographic projection, but you should try to give a geometric argument for continuity. Wed. Feb. 18 Draft of solutions to all exercises (except for 1.4 and two of your choice) from Section 1 of the Point-Set Notes Wed. Feb. 18 Fri. Feb. 20 Prepare 2.16 through 2.24 Fri. Feb. 20 Mon. Feb. 23 Prepare 2.29 - 2.33, and 2.35 Mon. Feb. 23 Wed. Feb. 25 Prepare 2.25, 2.26, 2.27, 2.38 Wed. Feb. 25 Turn in drafts of 2.17, 2.18, 2.22 Wed. Feb. 25 Fri. Feb. 27 Prepare 3.1, 3.2, 3.9, 3.11, and (3.12 or 3.13) Fri. Feb. 27 Mon. Mar. 2 Prepare 3.14, 3.15, 3.16. Hint for 3.16a: Use 3.10 and the fact that the interval I is connected. Mon. Mar. 2 Wed. Mar. 4 Read pages 5 - 7 of text, and solve this problem Notice that the numbering may have changed in the point-set notes Wed. Mar. 4 Fri. Mar. 6 Do problem assigned in class, read Theorem 1.6 and corollary (p15) in text, 3.18, 3.23, 3.24, 3.27 in point-set notes (old numbering) (3.20, 3.25, 3.26, 3.27 in new numbering) Mon. Mar. 2 Mon. Mar. 9 Turn in drafts of 2.35, 3.2, 3.10, (3.11 or 3.12), 3.16 (old numbering) Mon. Mar. 9 Wed. Mar. 11 Prepare 3.29, 3.31, 3.34 Wed. Mar. 11 Fri. Mar. 13 Prepare 3.35, 3.36, 4.1, 4.2, 4.3 Wed. Mar. 11 Mon. Mar. 16 Turn in drafts of 3.29, 3.31, 3.36. (These are the numbers from the online notes.) Fri. Mar. 13 Mon. Mar. 16 Read pp 55 - 56 (Section 1.2 of Chapter 2) and p 59 (Theorem 2.6 and surrounding text.) Mon. Mar. 16 Wed. Mar. 18 Read the proof of Theorem 2.8 (p 60). Do these problems. Wed. Mar. 18 Fri. Mar. 20 Turn in drafts of 4.3 (from point set notes) and problems 2 and 3 from the Mon. Mar. 16 assignment Mon. Mar. 30 Wed. Apr. 1 Prepare 4.4, 4.5, 4.8, 4.9 Read 2.25 and 2.26 (p 81) from text. See online handout for help. Wed. Apr. 1 Fri. Apr. 3 Prepare 4.11 - 4.14 Fri. Apr. 3 Monday Apr. 6 Drafts of 4.9, 4.12, 4.14 due Wed. Apr. 8 Fri. Apr. 10 Turn in answers to questions 1 - 6 from BFP handout. Fri. Apr. 10 Mon. Apr. 13 On p 72 and following, read Thm 2.19, Remark 2.3, Thm 2.20 and Thm 2.21. Do Problems 24 and 25. (Note that solutions are on p 296.) Read p 31 - 33 of Maunder Algebraic Topology (This was a handout.) Monday Apr. 13 Turn in final version of all exercises from point-set notes which have previously been turned in in draft form. (Be careful, since problem numbers have changed once or twice.) Monday Apr. 13 Monday Apr. 20 Do the reading and the problems specified here. Monday Apr. 20 Friday May 1 Do the reading and the problems specified here. Friday May 1 Friday May 8 Do the reading and the problems specified here.