Let X = (1, 2, 3, 4, 5, 6) and let T1= (X, 4, {3}, (1,2,3), (2,3,4), {2}} and T2 = {X, 4, (2), (1,2,3), (4,5,6), (2,4,5,6}} * O T1 and T2 are both not topologies on X O T1 and T2 are both topologies on X O T1 is a topology on X and T2 is not a topology on X O T1 is not a topology and T2 is a topology an X

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let X= (1, 2, 3, 4, 5, 6) and let T1= (X, 4, (3), (1,2,3), (2,3,4), (2)} and T2 = (X, 4, (2),
(1,2,3), (4,5,6). (2,4,5,6)) *
O TL and T2 are both not topologies on X
O T1 and T2 are both topologies on X
O Tisatopology on X and T2 is not a topology on X
O T1 is not a topology and T2 is a topology on X
Transcribed Image Text:Let X= (1, 2, 3, 4, 5, 6) and let T1= (X, 4, (3), (1,2,3), (2,3,4), (2)} and T2 = (X, 4, (2), (1,2,3), (4,5,6). (2,4,5,6)) * O TL and T2 are both not topologies on X O T1 and T2 are both topologies on X O Tisatopology on X and T2 is not a topology on X O T1 is not a topology and T2 is a topology on X
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