Question

34. For each topology on the list, determine the closure of: (f) Q (g) (1/n:nEN (h) 0 Topelogies Page We define the following topologies on a set X. * Discrete: Tb = {x,0) enran and onole set (P) are open *Indiscrete: T1= the set of all subsets of X-P(X) EVEN Ahi nais ent closec x Cofinite: for infinite sets X: GE Tef if XG is finite, or G 0 X fixed point p: G e To if pE G, or G fun: GE Tun if pE XG, or XG is finite. * dull: for X = R: G e Tatlı if G = U(a, b) where a < b. That is, if G is a union of arbitrarily many open intervals. Xbob: for X R: GE Thob if G Ula, b) where a < b. That is, if G is a union of arbitrarily many half-closed, half-open intervals

#34 part b and f. The bottom page is the list of topologies page.

Answer 1

ㄒ dull T.