Math 551 Spring 2001
Welcome Students of Topology!
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Homework is due in lecture exactly one week from the day it is assigned.
Date assigned: section - problem number / section - problem number
Jan 22: 1-2 / 13-2 .. first day handout
Jan 24: 1-3,4,5,6,7
Jan 26: 13-3,5,8
Jan 29: 3-6,13,15
Jan 31: 10-1,2,3,8
Feb 2: 16-3,6,8,9
Feb 5: 17-1,3,6 ..... quiz on definitions
Feb 7: 17-9,19 ...... Mystery Grading System
Feb 9: 17-10,11,12
Feb 9: Extra Credit Problem: (Prove or disprove) A the set of limit points of A is always closed.
Feb 12: 2-1,2,3
Feb 14: 2-4 / 18-3
Feb 16: 18-5,6
Feb 16: Extra Credit Problem: (Prove or disprove) lim(A) x lim(B)=lim(A x B)
Feb 19: Extra Credit Problem: (Prove or disprove) [0,1] x [0,1] with the order topology given by the dictionary order is the same topology as [0,1]d x [0,1] the product topology where [0,1]d is the discrete topology.
Feb 20: email
Feb 21: quiz 2 on definitions
Feb 28: exam 1

Mar 2: 19-5,7,8
Mar 5: 20-9
Mar 7: 20-1,2,3
Mar 21: 21-2,3
Mar 23: 23-2,4 / 26-2
Mar 26: 23-6,7 quiz 3 on definitions
Mar 28: 26-5,7
Mar 30: (Extra Credit) Prove: Suppose A is an unconnected subset of a metric space X. Then there exists U and V open in X sets such that U and V are disjoint, A is a subset of U union V, A meets both U and V. (Double Extra Credit) Show that the assumption X is metric is needed.
Apr 2: 24-1,10
Apr 4: 7-5 / 10-6 / 24-9
Apr 6: 24-11 / 28-6
Apr 9: review for exam 2 which will be Wed April 18 in class
Apr 13: email
Apr 18: exam 2
Apr 20: 30-3,5,11
Apr 20: Extra Credit: For R^(omega1) decide whether it is first countable, second countable, Lindelof, separable.
Apr 23: 30-9,10,14
Apr 23: Extra Credit: find 8 examples deciding every possible True or False assignment to three properties - first ctble, separable, Lindelof.
Apr 25: 31-1,2 / 32-1
Apr 27: 31-9 / 32-4,6
Apr 30: 33-1,3,4
May 7: quiz 4 on definitions
Final Exam - Tuesday May 15 2:45-4:45 (in our classroom)
Open Book - Open Notes
May 15: final