Math 104
Winter 2018
Topics in Topology
Homework
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Lectures |
Sections in Text |
Homework Assignment |
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Wednesday January 3 |
Chapter 1 |
Exercise 1.1 page 3 due Wednesday January 10 |
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Friday January 5 |
Chapter 1 |
Exercise 1.12 page 31 due Wednesday January 10 |
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Monday January 8 |
Chapter 2 |
Exercise 2.1 page 48 Due Wednesday January 17
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Tuesday January 9 x-hour instead of the class on January 15 |
Chapter 2 |
No Homework Assignment |
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Wednesday January 10 |
Chapter 2 |
Exercise 2.7 page 48 Due Wednesday January 17
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Friday January 12 |
Chapter 2 |
Exercise 2.13 page 49 Due Wednesday January 17
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Monday January 15 MLK day classes moved to x-hour |
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Tuesday January 16 x-hour |
Chapter 3 |
Exercise 3.1 page 75 Due Wednesday January 24 |
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Wednesday January 17 |
Chapter 3 |
Exercise 3.3 page 75 Due Wednesday January 24 |
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Friday January 19 |
Chapter 3 |
Exercise 3.7 page 76 Due Wednesday January 24 |
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Monday January 22 |
Chapter 4 |
Prove proposition 4.6
part b Due
Wednesday January 31 |
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Tuesday January 23 x-hour |
Chapter 4 |
No homework Due
Wednesday January 31 |
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Wednesday January 24 |
Chapter 4 |
Exercise 4.16 page 85 Due
Wednesday January 31 |
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Friday January 26 |
Chapter 5 |
Exercise 4.6 page 96 Due
Wednesday January 31 |
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Monday January 29 |
Chapter 5 |
Exercise 5.1 page 123
(Note that the sphere S2 has a unique (up to a diffeomorphism)
smooth structure, so if you establish that a smooth manifold is homeomorphic
to the 2-sphere, then it is diffeomorphic to the two sphere. Also one of the
ways to show that what you get is homeomorphic to the sphere is to use Euler
characteristic.) Due
Wednesday February 7 |
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Wednesday January 31 |
Chapter 6 |
No Homework |
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Friday February 2 |
Chapter 6 |
Exercise 5.4 page 123 Due Wednesday February 7 |
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Monday February 5 |
Chapter 7 |
No Homework. Please use the time to prepare for the Middle of the term presentation and discussion. |
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Wednesday February 7 |
Chapter 7 |
No Homework. Please use the time to prepare for the Middle of the term presentation and discussion. |
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Friday February 9 |
Chapter 7 |
No Homework. Please use the time to prepare for the Middle of the term presentation and discussion. |
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Monday February 12 Middle of the term presentation and discussion Monday February 12-Friday February 16 |
Chapter 7 |
Problem
8.1 page 199 Due Wednesday February 21 |
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Wednesday February 14 |
Chapter 8 |
Problem
8.3 page 199 Due Wednesday February 21 |
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Friday February 16 |
Chapter 8 |
Problem 8.16 part a page 201 Due Wednesday February 21 |
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Monday February 19 |
Chapter 11 |
Exercise 11.17 page
280 Due
Wednesday February 28 |
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Wednesday February 21 |
Chapter 12 |
Exercise 11.5 page 300 Due
Wednesday February 28 |
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Friday February 23 |
Chapter 12 |
Due
Wednesday February 28 |
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Monday February 26 |
Chapter 12 |
Exercise 13.13 page
332 Due
Tuesday March 6 |
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Wednesday February 28 |
Chapter 13 |
Exercise 14.7.a page
375 Due
Tuesday March 6 |
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Friday March 2 |
Chapter 14 |
Exercise 15.14 page 383 Exercise
16.2 page 434 Hint:
Use Theorem 16.8 This two exercises are optional, but you should learn how to do them
by the written Topology qualification exam if you decide to take it |
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Monday March 5 |
Chapter 14 |
Exercise 16.4 page 435 Optional
Homework Exercise. Not to be submitted |
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Tuesday March 6 x-hour |
Chapter 14 |
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End of the term presentation and discussion Wednesday March 7 – Sunday March 11 |
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