Topology I, spring 2010

Lecturer

Juliette Kennedy

Scope

10 cu.

Type

Basic to Intermediate studies, depending on the students' backgrounds. We start with metric spaces, progress through the basic properties of various topological spaces, i.e. Hausorff, Normal, etc. We end with Urysohn's Lemma, and the Tietze extension theorems. Our text is "Introduction to Topology and Modern Analysis" by Simmons.

Prerequisites: Single and Multivariable Calculus

Lectures

We will have a makeup class Friday, April 16th at 16:00 in room B321.

Weeks 3-8 and 11-17 Mon 16-18 C123 and Wed 10-12 C122

Easter holiday 1.-7.4.

Exams

Mid-term Wednesday March 17, 10-12, C323. We start at 10 sharp. For your midterm exam, you will solve/prove 5 of the following 18 problems/theorems: p.35, #2. p. 58, #1,#2. Theorems A, B, C, D, E in section 10. p. 64, #1,#4. Theorem C, section 11. p. 70, #13. Theorem B,C, D in section 12. p. 75, #5. Theorems A,C in section 13.

Final exam May 11th at 12 noon in ROOM B321. List of problems from which exam will be drawn are as follows: p. 64, #2, p. 69, #2, p. 74, prove theorem D, p. 75, #5,p. 94, #1 and #2, p. 96, prove theorem C,p. 100, prove theorems A and C (2 problems), p. 111, prove theorems A and B (2 problems)p. 121, prove theorem A, p. 124, #4, p. 123, prove theorem D, p. 135, prove theorem A.

Bibliography

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