  We use a natural forcing to construct a left-separated topology on an
arbitrary cardinal kappa. The resulting left-separated space X_kappa is also
0-dimensional T_2, hereditarily Lindelof, and countably tight. Moreover if
kappa is regular then d(X_kappa)= kappa, hence kappa is not a caliber of
X_kappa, while all other uncountable regular cardinals are. We also prove it
consistent that for every countable set A of uncountable regular cardinals
there is a hereditarily Lindelof T_3 space X such that rho=cf(rho)>omega is a
caliber of X exactly if rho not in A.
