Question

Let $\large\rm { T = \{ \varphi X, \{ a \} , \{ b \} , \{ a,d,e \} , \{ a , b , e , d \} }$ be a topology on set $\large\rm {X = \{ a,b,c,d,e \} }$ , Let set $\large\rm { A = \{ a,b,c \} \in X}$ . Find the relativity topology on A.​

Answer 1

Step-by-step explanation:

Let \large\rm { T = \{ \varphi X, \{ a \} , \{ b \} , \{ a,d,e \} , \{ a , b , e , d \} }T={φX,{a},{b},{a,d,e},{a,b,e,d} be a topology on set \large\rm {X = \{ a,b,c,d,e \} }X={a,b,c,d,e} , Let set \large\rm { A = \{ a,b,c \} \in X}A={a,b,c}∈X . Find the relativity topology on A.

answer

Let [tex]\large\rm { T = \{ \varphi X, \{ a \} , \{ b \}

Answer 2

Answer:

Let $\large\rm { T = \{ \varphi X, \{ a \} , \{ b \} , \{ a,d,e \} , \{ a , b , e , d \} }$ be a topology on set $\large\rm {X = \{ a,b,c,d,e \} }$ , Let set $\large\rm { A = \{ a,b,c \} \in X}$ . Find the relativity topology on A.