Billingsley P. Convergence of Probability Measures

John Wiley and Sons, 1968.
Weak convergence in metric spaces.
The Space of Continuous Functions.
The Space of Functions that are right-continuous and have a limit at left.
Dependent variables.
Appendix I. Metric Spaces.
Appendix II. Miscellany.
Appendix III. Theoretical Complements.