Mathematics 5853-001 - Topology I
- Fall 2013
 Homework
-  Due 8/30:
sec. 7 # 3; sec. 10 # 2, 3, 5, 8; sec. 11 supplemental # 3
 Also: Let (A,<) be an ordered set which is dense, has no largest or
		     smallest element, and is countable. Prove that (A,<)
		     is order-equivalent to the rational numbers. 
 -  Due 9/6:
sec. 13 # 5, 7, 8; sec. 16 # 4, 7, 8
Warning: the first edition problems do not match with these. 
 -  Due 9/13:
sec. 17 # 5, 6, 8, 9, 13 
Problems 5, 9, 13 agree with sec. 2-6 in the first edition. Problems 6, 8
are slightly different. You can do the first edition versions if you
prefer. 
 -  Due 9/20:
sec. 18 # 4, 5, 8, 10; sec. 19 # 2, 7
In first edition, these are sec. 2-7 # 4, 6, 9, 11 and sec. 2-8 # 2, 7.
 -  Due 9/27:
sec. 20 # 2, 4(a)(b), 6; sec. 21 # 2, 3(b) 
In first edition, these are sec. 2-9 # 3, 4(b)(c), 6 and sec. 2-10 # 2,
3. 
 -  Due 10/4:
sec. 22 # 1, 2, 3, 4, 6 
the first edition problems do not really match with these. 
 -  Due 10/18:
sec. 23 # 5, 9, 10, 11; sec. 24 # 2, 3, 6 
the first edition doesn't really have most of these. 
 -  Due 10/25:
sec. 25 # 2, 5, 7; sec. 26 # 1, 3 
In first edition, these are sec. 3-4 # 2, 9, 11 and sec. 3-5 # 1, 3. 
 -  Due Nov. 1:
sec. 26 # 5, 6, 8; sec. 27 # 4, 6
In first edition, these are sec. 3-5 # 5, 6, 8 and sec. 3-6 # 2, 6
 -  Due Nov. 8:
sec. 28 # 2, 6; sec. 29 # 1, 3, 6, 10 
In the first edition these are sec. 3-7 # 3, 7(b) and sec. 3-8 # 1, 3, 6,
and ??. 
 -  Due Nov. 15:
sec. 30 # 1, 2, 5; sec. 31 # 3, 6, 7
In the first edition, these are sec. 4-1 # 1, 5, 7 and sec. 4-2 # 4, 13,
and ??. 
 
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