Professor Alexandru I. Suciu

MTH 3107 Topology II

Winter 1999

Course Information

Course:	MTH 3107 (Topology II)
Instructor:	Alex Suciu
Time and Place:	Mon. & Wed., 5:30 - 7:00 PM, in 509 LA
Office Hours:	Wed. 4:00 - 5:30 PM, or by appointment
Prerequisites:	MTH 3105 (Topology I)
Textbook:	Topology and Geometry, by Glen Bredon, Springer-Verlag, GTM #139
Grade:	Based on problem sets, class projects, and a final exam

Course Description

This course is an introduction to homology theory. We will start with singular homology theory: axioms, homological algebra, homology with coefficients, Mayer-Vietoris sequence, degrees of maps, Euler characteristic. Next, we will introduce CW-complexes and study cellular homology. We will illustrate these techniques by many geometrical examples (surfaces, projective spaces, grassmanians, lens spaces, products, etc), and derive various applications (Jordan Curve Theorem, Borsuk-Ulam Theorem, Brouwer and Lefschetz-Hopf Fixed Point Theorems, etc). Time permitting, we will touch upon cohomology theory and duality on compact manifolds.

Here are some past qualifying exams in Topology, based in large part on the material covered in this course.

Final Exam

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LaTeX 2.e

DVI

Postscript

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Department of Mathematics	Office:	441 Lake Hall	Messages:	(617) 373-2450
Northeastern University	Phone:	(617) 373-4456	Fax:	(617) 373-5658
Boston, MA, 02115	Email:	alexsuciu@neu.edu	Directions

Created: December 28, 1998. Last modified: March 14, 1999

URL: http://www.math.neu.edu/~suciu/mth3107/top2.w99.html