Let X = {1, 2, 3, 4, 5, 6} and let T1 = {X, , {3}, {1,2,3}, {2,3,4}, {2}} and T2 = {X, þ, {2}, {1,2,3}, {4,5,6}, {2,4,5,6}} T1 is not a topology and T2 is a topology on O T1 and T2 are both topologies on X O T1 and T2 are both not topologies on T1 is a topology on X and T2 is not a topology on X
Let X = {1, 2, 3, 4, 5, 6} and let T1 = {X, , {3}, {1,2,3}, {2,3,4}, {2}} and T2 = {X, þ, {2}, {1,2,3}, {4,5,6}, {2,4,5,6}} T1 is not a topology and T2 is a topology on O T1 and T2 are both topologies on X O T1 and T2 are both not topologies on T1 is a topology on X and T2 is not a topology on X
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Let X = {1, 2, 3, 4, 5, 6} and let T1 = {X, þ, {3},
{1,2,3}, {2,3,4}, {2}} and T2 = {X, þ, {2}, {1,2,3},
{4,5,6}, {2,4,5,6}} *
T1 is not a topology and T2 is a topology on
O T1 and T2 are both topologies on X
O T1 and T2 are both not topologies on X
T1 is a topology on X and T2 is not a
topology on X](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff5d110b8-f398-4c88-8a13-a433feacaf03%2F84309149-82bc-4fed-b691-66c5379ebf19%2F28hl2lm_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let X = {1, 2, 3, 4, 5, 6} and let T1 = {X, þ, {3},
{1,2,3}, {2,3,4}, {2}} and T2 = {X, þ, {2}, {1,2,3},
{4,5,6}, {2,4,5,6}} *
T1 is not a topology and T2 is a topology on
O T1 and T2 are both topologies on X
O T1 and T2 are both not topologies on X
T1 is a topology on X and T2 is not a
topology on X
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