3. recall that p is a condensation point of s if each mrp contains uncountably many points of s. the set of condensation points of s is denoted as s∗. prove: (a) if s ⊂ t then s∗ ⊂ t∗. (b) (s ∪ t)∗ = s∗ ∪ t∗. (c) s∗ ⊂ s∗ where s∗ = (s)∗ (d) s∗ is closed in m; that is, s∗ ⊂ s∗ where s∗ = (s∗) . (e) s∗∗ ⊂ s∗ where s∗∗ = (s∗)∗. (f) calculate n∗, q∗, r∗, and (r q)∗. (g) give an example showing that s∗ can be a proper subset of (s)∗. thus, (c) is not in general an equality