Topology and Metricity of the Complex Plane

Marleonie  M. Bauyot,; Ryan  C. Calungsod,

Topology and Metricity of the Complex Plane

Abstract:

The equinumerosity of the set of complex numbers and a set of ordered pairs of real numbers is used to show the topology of the complex plane. Likewise, the metricity of the complex plane is proved with the aid of the metricity of the plane R.

References:

Churchill, R. V. and J.W. Brown. 1984. Complex Variables and Applications 4th ed., McGrawHill Book Company.
Greenleaf, F. P. 1972. Introduction to Complex Variables. W.B. Saunders Company, Philadelphia.
Wilansky, A. 1970. Topology for Analysis. Krieger Publishing Company Inc.