MAT 566 
Differential Topology 
Fall 2010 
TuTh 11:20-12:40
Earth & Space Science 181

Prof. Claude LeBrun.
Office: Math Tower 3-108.
Office hours: TuTh 2:30--3:30, or by appointment.

Differential Topology

The main objective of ordinary topology is to determine when two topological spaces are homeomorphic. Differential topology analogously seeks to determine when two smooth manifolds are diffeomorphic. This course will develop some of the basic tools used in the study of smooth manifolds and smooth maps.

Morris Hirsch,
Differential Topology,
Sixth edition,
Springer-Verlag, 1997.

Prerequisite: Geometry/Topology II, or permission of the instructor.

No exams will be given in this course. However, a moderate amount of homework will be assigned and collected. For the most recent homework assignment, click here.

Grades will be based on homework and class participation.

The Professor may be reached via e-mail by .
This is the best method for making appointments outside normal office hours.

DSS advisory. If you have a physical, psychiatric, medical, or learning disability that could adversely affect your ability to carry out assigned course work, please contact the Disabled Student Services office (DSS), Educational Communications Center (ECC) Building, room 128, (631) 632-6748.  DSS will review your situation and determine, with you, what accommodations are necessary and appropriate. All information and documentation regarding disabilities will be treated as strictly confidential.

Students for whom special evacuation procedures might be necessary in the event of an emergency are encouraged to discuss their needs with both the instructor and with DSS. Important information regarding these issues can also be found at the following web site: