- Q8 Let X 1 1 Let T 0 X U 1 B 0 B 1 U A 1 1 A 0 U A B 1 A 0 B 1 I Prove That T 1 (15.39 KiB) Viewed 27 times
- Q8 Let X 1 1 Let T 0 X U 1 B 0 B 1 U A 1 1 A 0 U A B 1 A 0 B 1 I Prove That T 2 (15.39 KiB) Viewed 27 times
Q8) Let X= [1,1]. Let T= {0, X} U {[-1,b): 0 < b < 1} U {(a, 1]: -1 < a < 0} U {(a,b): -1 < a <0
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Q8) Let X= [1,1]. Let T= {0, X} U {[-1,b): 0 < b < 1} U {(a, 1]: -1 < a < 0} U {(a,b): -1 < a <0
Q8) Let X= [1,1]. Let T= {0, X} U {[-1,b): 0 < b < 1} U {(a, 1]: -1 < a < 0} U {(a,b): -1 < a <0<b< 1}. (i) Prove that T is a topology on X. (ii) Prove that (X, T) is To. (iii) Prove that (X, T) is compact but not Hausdorff. (iv) Prove that (X, T) is first countable.
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