...♠nice topology ♠...
suppose ⟨S , τ ⟩ is Baire′s
space and
S = ∪_(n=1) ^∞ F_n such
that F_n ′s are closed sets
prove that::
∃ m ; F_m ^( °) ≠ ∅ ..m.n.july
...♣m.n.july.1970♣...
(1) find the locus ∣z−z_1 ∣ = 2 meets
the positive real axis
(2)On a single Argand diagram, sketch
the loci → { ((∣z−z_1 ∣=2)),((arg(z−z_2 )=(π/4))) :}