W$5$: Regular and Normal Spaces

Research the separation axioms distinguishing $T_0,T_1,T_2,T_3,$

and $T_4$ spaces. Discuss some interesting aspects of these spaces to include

their subtlety. Note that it is easy to create a space that is not even $T_0,$

e$.$g$.x=\{a,b,c,d,e\}$ with $T=\{\frac{O}{,}x,\{a,b,d\},\{a,b\},\{d\}\}$ where the

points ainx and binx cannot be separated. As always comment on your

classmates' observations about the separation axioms, and remember to

cite your work.