No textbook is required. The following books are
535, Section G1 Fall 2020
General Topology by S. Willard (there is a Dover paperback and
various electronic versions). A well-regarded and somewhat dated text.
I personally don't like Topology by J. Munkres (any edition),
but you may find it useful. It's not cheap either.
- Topology and Geometry by Bredon. You can get a copy
through the library
It's been awhile since I looked at this book.
Homework: Homework problems are to be assigned
once a week. They are due the following week. No late homework will be accepted.
There are several reasons why I want the homework to be turned in on
time. First of all, if you are not keeping up with the homework, you
are not keeping up with the class and then you may well get lost in
the lectures. Secondly, it is hard to grade fairly the homework that
is turned in late. The grader would have to keep careful track of the
grading rubrics and so on. In short: late homework is bad for you
and means more work for
Exams: There will be one midterm and a final. A
will be closed book and will be administered by CBTF on Zoom.
The midterm is scheduled to take place online on
12pm-12:50 pm Central time (plus 10 minutes to scan and upload); the
not likely to change.
The final, according to the non-combined final
examination schedule is to take place on
1:30 pm-4:30 pm Thursday, December 17
Requests for make-up exams require a serious
documentation and are (almost) never granted. Please plan
accordingly. I will drop the lowest homework score.
Grade: The formula for the course grade is roughly
final exam = 40 %
midterm = 20%
- homework, 40%
formula is here to give you a sense of how you are doing in the class.
This said, I strongly recommend studying for the final no matter how
well you are doing on the midterms and the homeworks.
Definition and examples of metric and topological spaces, continuous maps, bases, subbases;
nets and convergence, compactness, Tychonoff theorem;
separation axioms: Hausdorff, regular, normal...;
connectedness, local connectedness, path connectedness;
compactness and completeness in metric spaces;
Urysohn lemma, Tietze extension;
paracompactness and partitions of unity;
categories, functors and natural transformations;
fundamental groupoids and
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Last modified: Wed Aug 19 12:08:19 CDT 2020