Topology II
Math 5863
Spring Semester 2019


Here is a copy of the final exam.   In the class there were 5 A's, 3 B's and 3 C's on this test. The graded papers will be returned to mailboxes (for students that have mailboxes).
COMMENTS: As part of the process of mastering topics covered in this course (for preparing for qualifying exams say), I would recommend that you review and come to a thorough understanding of every one of the problems on the final exam. I will be around at least in the early portion of the summer and happy to meet and go over any questions you have about this, or, if there is enough interest and a common time can be found, we could set a meeting time to discuss them. For preparing for the qualifying exam I also remind you of the extensive archive of previous exams posted at the graduate student web page. While each individual test will not touch on all of the material that needs to be mastered, the entire archive should be quite comprehensive in its scope.


Here's a brief discussion of the important fact that a finite-sheeted covering map with compact image must have compact domain.

Here are some discussion/review problems on covering space theory:


The midterm exam took place in class on Friday March 15. Recommended study problems for the test were:


Brief answers to the True/False problems will be posted here as the semester progresses (thanks to Jacob Walker for compiling these!)


Weekly office hours in PHSC 801 will be before class 12:30pm - 1:30pm on MWF, and directly after each class.


Here is the Information Sheet for this course.




Archive of assignments:



Here is a bibliography of topology books compiled by Allen Hatcher. Although it was created in 2003 and is somewhat dated, a perusal of this list should still begin to suggest some of breadth of the subject of topology. Professor Hatcher is a renowned topologist at Cornell University who is himself a highly regarded author of topology textbooks.