Let's say topology j*, Y=(R, I') in R with {[a,b) | a,b ER} as the base. Let the function f:R-Y=(R, I) be f(x) =x, Let 3*, be a weak topology by f from X, X= (R, 3*). (1) Explain if X is T 1: (2) Find the component of X. (3) Give an example of a compact subset of X (infinite set) and explain why. Let's say topology j*, Y=(R, I') in R with {[a,b) | a,b ER} as the base. Let the function f:R-Y=(R, I) be f(x) =x, Let 3*, be a weak topology by f from X, X= (R, 3*). (1) Explain if X is T 1: (2) Find the component of X. (3) Give an example of a compact subset of X (infinite set) and explain why