Generic left-separated spaces and calibers

We use a natural forcing to construct a left-separated topology on an narbitrary cardinal kappa. The resulting left-separated space X_kappa is also n0-dimensional T_2, hereditarily Lindelof, and countably tight. Moreover if nkappa is regular then d(X_kappa)= kappa, hence kappa is not a caliber of nX_kappa, while all other uncountable regular..