MTG4930/MTG6346 Topology 1
MTG4930/MTG6346, Topology 1 Syllabus
Text:
“Algebraic Topology” by Allen Hatcher
Schedule and Room:
MWF 6 LIT 219
Grading:
20% Presentation+30% HomeworkQuizzes+30%Midterm+20%Final; A if your score >90, A- if >85, B+ if > 80, B if > 75, B- if >70 C+ if > 65, C if > 55, C- if >50, D+ if >44, D if >40, D- if >35.
Home-taken Final, One in class presentation, three quizzes and one in class Midterm
based on the Homework. Home work is not graded.
.Extra credit: up to 5 pts for solving a * rated problem.
Attendance is strictly recommended.
Office Hours:
MW7 LIT 424
Description of the Course:
(Chapters 0-2)
- Homotopy and homotopy type
- CW complexes
- Homotopy equivalence
- Homotopy extension Property
- The fundamental group
- Covering spaces
- Fundamental group of circle
- Van Kampen theorem
- Deck Transformations
- Simplicial and Singular Homology
- Exact Sequences
- Cellular Homology
- Mayer-Vietoris sequence
- Homology with coefficients
- Axioms for homology