This course forms a one-year sequence in algebraic topology together with MAT 566 that I will teach in Spring 2014. The goal of the one-year course is to cover the basics on singular homology, cohomology, homotopy theory and vector bundles; as the year progresses, the focus will be shifting from working with more general topological spaces to understanding topology of smooth manifolds. In particular, MAT 539 will mainly deal with singular homology and cohomology and a little bit of homotopy theory. MAT 566 will explore more of homotopy theory and will be concerned with vector bundles, characteristic classes, and smooth topology.
Students with Disabilities: If you have a physical, psychological, medical, or learning disability that may impact on your ability to carry out assigned course work, you are strongly urged to contact the staff in the Disabled Student Services (DSS) office: Room 133 in the Humanities Building; 632-6748v/TDD. The DSS office will review your concerns and determine, with you, what accommodations are necessary and appropriate. A written DSS recommendation should be brought to your lecturer who will make a decision on what special arrangements will be made. All information and documentation of disability is confidential. Arrangements should be made early in the semester so that your needs can be accommodated.