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ALGEBRAIC TOPOLOGY I

### Math 643-600

### Fall 2002

**Instructor:**
Peter F. Stiller

**Office:** Blocker Bldg. 634B

**Office Phone:** 979-862-2905

**E-mail:** stiller@math.tamu.edu

**Office Hours:**
Dr. Stiller's Fall 2002 Schedule

**This Page:** /~stiller/courses/algtop02.html

**Course Information**

**Time:** TTh 2:20 to 3:35

**Place:** BLOC 624

**Text:** *An Introduction
to Algebraic Topology* by Joseph J. Rotman , Springer Verlag (1994).

**Supplementary Material:** See bibliography below

**Prerequisites:** The student should be familiar with the basic
concepts of point set topology and algebra - primarily group theory.

**Grades:** Mid-term Exam (25%), Final Exam (25%), Homework Sets (50%). Homework
problems will be assigned weekly.

**9/3 & 9/5** Chapter 0

Read Chapter 0

Problems: 0.1*, 0.3, 0.4, 0.6*, 0.7*, 0.8(i), 0.14, 0.16(vi), 0.17*
0.18*, 0.19*, 0.20* (Problems with an asterisk (*) are due 9/11.)

Read through problems 0.9, 0.10, 0.12 and 0.13

**9/9 & 9/11** Chapter 0 (continued) and Chapter 1

We will continue our discussion of Chapter 0.

Read Chapter 1 pgs. 14-18

**9/17 & 9/19** Chapter 1 (continued)

Read Chapter 1 pgs. 18-30

Problems: 1.1*, 1.3, 1.4, 1.6*, 1.8*, 1.9*, 1.10*, 1.11*, 1.12*
1.13*, 1.14* (Problems with an asterisk (*) are due 9/24.)

**9/24 & 9/26** Chapter 1 (continued) and Chapter 2

Read Chapter 2 pgs. 31-38

Problems: 1.15, 1.19*, 1.22, 1.23*, 1.24*, 1.26*, 1.29, 1.30, 1.32*
1.33, 1.34*, 2.1*, 2.4, 2.5, 2.8*, 2.9, 2.10 (Problems with an
asterisk (*) are due 10/3.)

**10/1 & 10/3** Chapter 3

Read Chapter 3 pgs. 39-50

Problems: 3.1, 3.2*, 3.4*, 3.5, 3.6*, 3.8, 3.10
(Problems with an asterisk (*) are due 10/8 .)