MTG6347/MAT4930 TOPOLOGY II

MTG6347/MAT4930 Topology II

Text:

“Algebraic Topology”  by Allen Hatcher

Schedule and Room:

MWF 6    LIT  217

Grading:

20%Presentation+40%HWQuizzes+40%Final; A if >85, B+ if > 80, B if > 70, C+ if > 65, C if > 50, D+ if >40, D if >30.

One in class presentation, three quizzes  based on the Homework, the home-taken  Final; no make-ups.

Home work is not graded. Quizzes consist of homework problems.

Extra credit: up to 10 pts for extra presentation in class, up to 5 pts for solving a * rated homework problem.

Attendance is strictly recommended.

 

Office Hours:

MW7   LIT 424

Description of the Course:

 

Spring-2024 (Chapter 2-3)

  • Cellular Homology
  • Mayer-Vietoris Sequence
  • Homology with coefficients
  • Coefficients Long Exact Sequence
  • Tensor and Tor products
  • Universal Coefficient Formula (UCF)
  • Kunneth Formula
  • Axiomatic approach to Homology
  • Cohomology
  • Universal Coefficient Theorem (UCT)
  • Cup Product
  • Cohomology Ring
  • Kunneth Formula for Cohomology
  • Orientation and Homology
  • Cohomology with compact supports
  • Cap Product
  • Poincare Duality
  • Lefschetz Duality
  • Alexander Duality

·  Homework, Presentations, and Extra Credit 

 

·   Solutions to the Q1 

·   Solutions to the Q2 

·   Solutions to the Q3 

·  FINAL 

·   Solutions to the Final 

 

·  Announcements

 

 

 

Current Standing:

  ·  Sections 15186/14583

Statement:

·  Students requesting classroom accommodation must first register with the Dean of Students Office. The Dean of Students Office will provide documentation to the student who must then provide this documentation to the Instructor when requesting accommodation.