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Posted: **Wed May 04, 2022 11:11 am**

: 3 If X A B C Let 3 0 X A A B And 3 0 X A B C A Show That And 3 Are Topologies On X 1 (31.5 KiB) Viewed 36 times

3. If X = {a,b,c}, let 3₁ = {0,X, {a}, {a,b}} and 3₂ = {0, X, {a}, {b,c}}. (a) Show that ₁ and 3₂ are topologies on X. [5] (b) Find the smallest topology containing I₁ and I₂, and the largest topology contained in 3₁ and I₂. [6]