Intro to Topology/ Found to Topology


Lecture: MWF 1300-1350, Location DSH-327


Instructor: Dimiter Vassilev     Office: SMLC 326 Email:  Phone: 505 277 2136


Math 431 Introduction to Topology & Math 535  Foundations of Topology

Description:  Metric spaces, topological spaces, continuity, algebraic topology.  Basic point set topology. Separation axioms, metric spaces, topological manifolds, fundamental group and covering spaces.


Prerequisite: MATH401


Text: Introduction to Topology, Th. Gamelin & R.E.Greene, Dover Publ., 2nd edition



Office Hours: Monday, Friday 10am-11pm, Wednesday 11am-12pm. You are welcome to stop anytime you have a quick question.                                                                                                                 


Final Exam: Friday, December 14, 12:30‐2:30 p.m.. Please check Final Examination Schedule.

Students having conflicts with this examination schedule must notify the appropriate instructor before Friday, November 9, 2012.




Please note the following guidelines for the course:

Grades: The final grade will be determined by homework & quizzes (25%), two midterms (50%) and a final exam (25%)
.  All grades will be posted on WebCT.


Homework:  Homework from the previous week is due Monday at the beginning of class. There will be one HW weekly or a quiz. You can work together on the homework, but you do need to write up your own solutions in your own words. To help the grader, please write your solutions up neatly and clearly (no points for work that the reader cannot follow- this is also true for exams), and staple the sheets.   The best ten homework/quiz grades only will be counted for a total of 100pts. Please no late homework.


Missed Exams:  Make-up exams can be arranged for exams missed with a VALID excuse (illness, family emergency, active participation in scholarly or athletic activities), and ONLY if prior notice is given. 


Disability Statement: We will accommodate students with documented disabilities. During the first two weeks of the semester, those students should inform the instructor of their particular needs and they should also contact Accessibility Services in Mesa Vista Hall, Room 2021, phone 277-3506.  In addition, they should see CATS- Counseling and Therapy Services; Student Health Center (277-4537). (They can help if you suffer from exam anxiety).    




                                             Syllabus – Fall 2012  (please check after class as advanced postings of homework could change)

Week of

Topics Covered

Due Homework – turn in Monday following week at the beginning of class. (Note 3.1/ 2 means problem 3.1.2, i.e. problem #2 from section 3.1)

Aug. 20

1. Metric Spaces


Aug.  27



Sep. 3




Sep. 10


2. Topological Spaces


Sep. 17



Sep. 24



Oct. 1




Oct. 8

October 11–12 Fall Break

Exam 1, Wednesday, October 10

Exam and Solutions on WebCT

Oct. 15



Oct. 22



Oct. 29


 3. Homotopy Theory


Nov. 5




Nov. 12




Nov. 19

November 22–23 Thanksgiving

 Exam 2, Monday, November 19

Exam and Solutions on WebCT

Nov. 26




Dec. 3




Dec. 14 Finals week

Friday, December 14, 12:30‐2:30 p.m.