Topology
Hw set 1 for wed
1.3: 1
2.1: 2, 3, 4, 5
3.1: 1, 4 (See chapter 2 for definition of seperable metric space)
Hw set 2 for wed
3.1: 2, 4, 6 (extra credit), 8
Let Y be the topological space from the lecture, which was the quotient of L1 ⊔ L2 by the equivalence relation: (x,y) ∈ L1 is equivalent to (z,h) ∈ L2 iff x = z and x > 0. Here L1, L2 are parallel horizontal lines in R2. This space looks like the letter Y. Show that this space is not metrizable with its quotient topology.
Hw set 3 for wed 3.2: 1,2,3,4,6,10
Hw set 4 for wed 3.2: 12
3.3: 1,2,3
Hw set 5 for wed
3:3: 4, 5, 6, 7, 8, 9 (extra credit)
HW set 6
3.3: 10 3.4: 1, 2, 3
HW set 7
3.4: 4, 5, 6,
HW set 8
Set 9
5.1: 1, 2, 3, 4
Set 10:
5.1: 5,6,7
Set 11:
5.2 1,2
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