Math 145B, Introduction to Topology II

Spring 2009

MWF 11:10-12:00, Sproul 2343

Monday, March 31:
Review of basic definitions from last quarter; open covers and compactness

Wednesday, April 1:
Theorems about compactness

Homework: Section 26 #3, 5, 6 (due
Friday, April 3)

Friday, April 3:
Compactness of closed intervals on the real line

Monday, April 6:
More theorems on compactness

Homework: Section 26 #12 (If you use
the hint, be sure to prove it!) (due Friday, April 10)

Wednesday, April 7:
Still more theorems on compactness

Homework: Section 26 #7 (due Friday,
April 10)

Friday, April 9:
Examples of compact spaces

Monday, April 13:
Compact metric spaces

Homework: Section 27, #2 (due
Friday, April 17)

Wednesday, April
15: Compact metric spaces and the uncountability of
the reals

Homework: Section 27, #6 (** now due
Friday, April 24**)

Friday, April 17:
Other notions of compactness

Homework: Section 20, #3a (due
Friday, April 24)

Monday, April 20:
More on other notions of compactness

Wednesday, April
22: Locally compact spaces

Homework: Section 28 #6 (due Friday,
May 1)

Friday, April 24:
Locally compact spaces and one-point compactifications

Monday, April 27:
Theorems about locally compact spaces

Homework: Section 29 #5, 6 (due
Friday, May 1)

Wednesday, April
29: More on local compactness

Friday, May 1:
Review

Monday, May 4:
Midterm exam

Wednesday, May 6:
Identification spaces

Homework
(due Friday, May 8)

Friday, May 8:
Identification maps

Homework
(due Friday, May 15)

Monday, May 11:
More on identification spaces

Wednesday, May 13:
Projective spaces

Homework
(due Friday, May 22)

Friday, May 15: Homotopies of maps

Monday, May 18:
More on homotopies of maps

Wednesday, May 20: Nullhomotopic maps and homotopy
equivalences

Homework
(due Friday, May 29)

Friday, May 22:
Deformation retractions and contractible spaces

Homework
(due Friday May 29)

Wednesday, May 27:
Simplicial complexes

Friday, May 29:
More on simplicial complexes

Monday, June 1:
Classification of closed surfaces

Wednesday, June 3:
Euler characteristic

Friday, June 5:
Review

Saturday, June 6:
Final exam 11:30-2:30

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Last
modified: 3 June 2009