- 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 35 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. [
-
answerhappygod
- Site Admin
- Posts: 899604
- Joined: Mon Aug 02, 2021 8:13 am
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. [
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]
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!