MAT 530 Topology/Geometry I

Fall 2017

SUNY at Stony Brook

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.


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


  • Grading:

    Homework 30%, Midterm 30%, Final 40%

    Course Text:

    Another useful text for the last third of the semester covering algebraic topology is:

  • Algebraic Topology by 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:

    Monday, Dec 18, 5:30-8pm, in TBA



    Week of

    Section

    Problems/Assignments

    Due Date

    Aug 28

    12-17

    HW1

    Sept 6

    Sept 4

    18,20,21,22

    18: 2, 5, 13 19:6,7 20:4(a),8(a) 21:9

    Sept 13

    Sept 18

    23-27

    21:2, 8 22:3, 4 Suppl. Ex:4, 5 23:3, 5, 11

    Sept 20

    Sept 25

    28, 29, 37

    24:8. 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.68-70

    No HW - Tksgv. Break.

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