Question
Consider ℝ with the standard topology and the map f : ℝ → {–1, 0, 1}...
Consider ℝ with the standard topology and the map f : ℝ
→ {–1, 0, 1} defined by:
f(x) = {–1 when x > 10; 0 when –10 ≤
x ≤ 10; and 1 when x < –10}.
Select each and every set that is an open sets in the quotient topology on {–1, 0, 1} (there are 3 out of 5).
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A. {–1,0,1} |
|
|
B. {0} |
|
|
C. {0,1} |
|
|
D. {–1} |
|
|
E. {–1,1} This is all that I have. This question is very confusing to me. |
Homework Answers
Answer #1
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