Math 535: General (point set) topology
- Instructor: Eugene Lerman
- e-mail: lerman at math dott uiuc dott edu
- Course page:
- Office: 336 Illini Hall
- Office Hours:
see my calendar
- Phone: 244-9510
- Class meets: MWF 10-10:50 in
343 Altgeld Hall
Prerequisites None, really.
If you have any questions or concerns, please contact me by e-mail.
Grades The course grade will be based on weekly homework
(70 %) and the final exam (30%).
The course is an introduction to point set topology:
- Definition and examples of topology, topological spaces and
continuous maps, bases, subbases.
- subspaces, products
- metrics and pseudometrics
- quotient topology
- separation axioms: Hausdorff, regular, normal...
- connectedness, local connectedness, path connectedness
- compactness, Tychonoff theorem
- compactness and completeness in metric spaces
- Urysohn lemma, Tietze extension
- countability axioms
- paracompactness and partitions of unity
- topology on function spaces
Recommended texts are (there is no required text):
by S. Willard
(A Dover edition should be available from the bookstore)
by Munkres (any edition)
Topology and Geometry by Bredon
See this link for homework
assignments, some solutions and pdf files of lectures old (Spring 06)
Last modified: Mon Feb 22 10:59:39 CST 2010