Math 413: Introduction to Topology

Instructor: John Lind
Office: Krieger 216
Email: jlind[A]math.jhu.edu
Office hours: Tuesday 3.00-5.00

Teaching Assistant: Jeffrey Tolliver
Office: Krieger 201
tolliver[A]math.jhu.edu

Homework

HW 1 (due 2/7)
Prove that the Remark from the first lecture is true
§13: 1, 2, 4, 6, 8(a)(b)

HW 2 (due 2/14)
§16: 3, 8, 9, 10
§17: 3, 5, 6, 10, 13, 16, 21

HW 3 (due 2/21)
§18: 1 (and its converse), 2, 12, 13
§19: 3, 6, 7
§20: 2, (4, 5, 8)

HW 4 (due 2/28)
§20: 4, 5, 8
§21: 2, 7 (please look up the definition of any unfamiliar terms)
§23: 1, 3, 5, 8
§24: 8, (12 is a suggested super-fun challenge problem, but is not obligatory)

HW 5 (due 3/7)
Prove the Cantor-Bernstein-Schroeder Theorem:
If there exist injections f:A-->B and g:B-->A, then |A| = |B|
§19: 9
§24: 10
§26: 1, 3, 6, 7, 8

HW 6 (due 3/14)
§26: 12
§27: 3, 6
§28: 1, 6, 7

HW 7 (due 4/4)
§22: 3, 4
§29: 1, 6, 7, 8, 11

HW 8 (due 4/16)
§30: 4, 5, 13
§31: 3, 5, 7, 9
§32: 6, 7(b)(d)(e)(g)

HW 9 (due 4/25)
§33: 2, 11
§34: 1, 3, 4, 7
§36: 5
§37: 1, 2, 3