Question: Consider the set X = {a, b, c} equipped with the topology T = {, {c}, {b, c}, X}. a.) Prove that X is normal.

Consider the set X = {a, b, c} equipped with the topology T = {, {c}, {b, c}, X}.

a.) Prove that X is normal.

b.) Prove that X is not regular

c.) Is X a T1 space? Explain.

d.) is X a T0 space? Explain.

Note: We do not need to show that T is a topology and we are not assuming that regular and normal include the T1 condition.

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