This course is an introduction to the basic structures and concepts of point-set topology and beginning concepts of algebraic topology. This is a core course of the PhD program, and as such, the syllabus is relatively fixed. The list of topics to be covered is here.

Instructor:Michael Anderson

Office:4-110 Math Tower

Email:anderson at math.sunysb.edu

Web site:http://www.math.sunysb.edu/~anderson

Office hours:MW 11:30-1:00 & by appointment in 4-110 Math Tower

Grader:Yuan Gao

Email:ygao at math. stonybrook dot edu

Office: Math Tower 2-106

Office hours:Mon 12-1 and 6-7 in MLC, Wed 4-5 in 2-106.

Lectures:MW 10:00-11:20am, ESS 181

## Grading:

Homework 30%, Midterm 30%, Final 40%## Course Text:

Topology, 2nd Edition, by James R. Munkres. Prentice-Hall 2000Another useful text for the last third of the semester covering algebraic topology is:

Algebraic Topologyby Alan Hatcher. This is available as PDF download on Hatcher's website: here.

## Homework:

There will be weekly homework assignments, generally due in class on (Wednesdays).

You may discuss homework problems with other students and consult other sources, but you and only you are responsible for writing the full solutions expressing your full understanding. Please also write clearly and legibly.

Late homework policy: In general, no late homework is accepted. Exceptions are at the discretion of the grader.

Check the course schedule below regularly for the assignments.

## Midterm:

Wednesday, Oct 18, in lecture class

The material for the Midterm will be all following Sections, which you can ignore/skip: 14, 35, 38. There will be 6-8 problems, some easy, some harder, spread over all Chapters, but with a bit more emphasis on the later Chapters and Sections.## Final Exam:

Tuesday, Dec 19, 2:15-5pm, in MAT 4-130

The problems on the Final Exam will mostly be on algebraic topology, but covers the following sections.

Chapter 7: 43, 45, 47. Chapter 9, all but 57. Chapter 11: 68-71, 73, Chapter 13: all.

Or the equivalent material in the Hatcher text. There will be 7-8 problems on the exam.

The best preparation is to practice doing problems, e.g. problems from the Hatcher text.

Week of

Section

Problems/Assignments

Due Date

Aug 28

12-17Sept 6

Sept 4

18,20,21,22

18:2, 5, 1319:6,720:4(a),8(a)21:9Sept 13

Sept 18

23-27

21:2, 822:3, 4Suppl. Ex:4, 523:3, 5, 11Sept 20

Sept 25

28, 29, 3724:8.25:4.26:1, 7, 8..27:2(a)(b).28:7.

29:9.Sept 27

Oct 2

30-33

30:1a, 3, 4, 5a, 12.31:2, 6, 8.Oct 4

Oct 9

34, 36, 35

33:2, 4.34:3, 4.361,3.Oct 11

Oct 16

35, 43, Midterm

------

Oct 23

43,45,47

43:1, 2, 5, 7.45:7ab.Oct 25

Oct 30

51,52

45:2, 4(a), 5.51:1, 2, 3.Nov 1

Nov 6

53,54,56

52:4, 5.53:3, 4, 6b.58:5,6.Nov 8

Nov 13

55,58-60

54:1, 4, 5, 7, 8.58:2(a)-(e).59:2.Nov 15

Nov 20

Ch.68-70No HW - Tksgv. Break.

--

Nov 27

71,73,74,79---

---

Dec 4

Ch.80-82

60:570:1,71:2,74:3, 4a,79:2, 581:5Dec 6

Americans with Disabilities Act:If you have a physical, psychological, medical, or learning disability that may impact on your ability to carry out assigned course work, please contact Disability Support Services at (631) 632-6748 DSS . DSS office: EEC (Educational Communications Center) Building, Room 128. DSS will review your concerns and determine, with you, what accommodations, if any, are necessary and appropriate. All information and documentation is confidential. Arrangements should be made early in the semester so that your needs can be accommodated.Students who require assistance during emergency evacuation are encouraged to discuss their needs with their professors and DSS. For procedures and information go to the DSS website above.

Academic Integrity:Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another persons work as your own is always wrong. Faculty are required to report any suspected instances of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website here.

Critical Incident Management:Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of University Community Standards any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, or inhibits the students' ability to learn. Further information about most academic matters can be found in the Undergraduate Bulletin, the Undergraduate Class Handbook and the Faculty-Employee Handbook.