College Fellow:

Eric Astor

office: Eck 11 (in the basement)

email: epastor AT math DOT uchicago ETC

Lectures:

MWF 12:30-1:20, Eckhart 206

Problem session:

Wed 5-6p, Eck 312

Office Hours:

Dave: Mon 2-3p, Wed 3-4p, Thurs 4:30-5:30p

Eric: Tues 3-4p, Fri 3-4p

Text: James Munkres's Topology, 2nd Ed.

Syllabus

day	date	topic	relevant text sections	problem sets
Mon	1/3	first day business; course introduction		Problem Set #0
Wed	1/5	set theory and logic review	Ch. 1
Fri	1/7	set theory and logic review	Ch. 1	Problem Set #1
M	1/10	topological spaces, examples	12, 14, first part of 20
W	1/12	basis, product topology	13, 15
F	1/14	subspace topology, closed sets	16 & 17	Problem Set #2
M	1/17	MLK, Jr. Day
W	1/19	continuous functions and homeomorphisms	18
F	1/21	product topology -- infinite products	19	Problem Set #3
M	1/24	metric topology, in more detail	21
W	1/26	quotient topology	22
F	1/28	manifolds, topological dimension
M	1/31	MIDTERM I (solutions)
W	2/2	Snowpocalypse
F	2/4	connectedness I	23 & 24	Problem Set #4 Solutions
M	2/7	connectedness II	24 & 25
W	2/9	compactness	26 & 27
F	2/11	College break
M	2/14	limit point & local compactness	28 & 29	Problem Set #5, Problem 12 Solutions
W	2/16	Tychonoff theorem	37
F	2/18	countability and separation axioms	30 & 31
M	2/21	normal spaces	32
W	2/23	MIDTERM II (solutions)
F	2/25	Urysohn metrization theorem	33 & 34	Problem Set #6
M	2/28	Completeness, function space topologies	36 & 46
W	3/2	SPECIAL GUEST LECTURES: The Ben McReynolds Show
F	3/4	SPECIAL GUEST LECTURES: The Ben McReynolds Show		PSet #7: Ben's problems, Dave's problems
M	3/7	Ascoli's theorem	47
W	3/9	Imbeddings of Manifolds	36 & 50
F	3/11	reading period
Th	3/17	FINAL EXAM -- 4pm-6pm (solutions)