Hello, I have a problem about one point compactification.

This is the problem.

Let A=[0,1)∪(2,3)∪(4,5].

Let T=<(a,b),(a,b)∩Aㅣa<b> be a generated topology on R(real numbers).

Let (R*,T*)=(R∪{p},T*) be a one point compactification of R.

Find K such that 1. K is compact subset in (R*,T*).+ 2. A⊂K⊂[0,1]∪[2,3]∪[4,5]∪{p}?

If you explain this with some drawing, draw for me please. Thank you.