MATH 725 — Topology — Winter 2016
course outline
(printable pdf version).
- Important Information
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Important information will be posted here from time to time.
- 2016-01-06
- Page created.
- Instructor
- Dr David Casperson
(contact information).
- Texts
- Elements of Mathematics: General Topology
by Nicolas Bourbaki. Springer Verlag. 1989.
- Topology
by Jänich Klaus. Springer Verlag. 1984.
- Counterexamples in Topology
by Lynn Arthur Steen and J. Arthur Seeback, Jr.
Springer Verlag. 1978.
- Grading Scheme
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- Links
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- Topics
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The calendar says:
Topological spaces, Tychonoff Theorem, Tietze extension theorems,
Urysohn lemma, compactification, homotopy theory, fundamental group,
uniform spaces, knot theory.
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The course will contain a thorough review of point-set topology, and
then an exploration of what can be added to point-set topology, either
through the combination of topology with other structures, or through
functorial approaches to classification (homotopy, closed two-manifolds,
and so on.
- General
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This is a reading course.