Introduction to temporal topology

Temporal topology studies chronological variation of the topology of an object (set). In this paper, we will present the basic definitions related to temporal topology. In addition, the classical continuity and separations axioms known in general topology will be generalized to temporal topological spaces. Also, we will show that the subcategory of temporal T_0Q-spaces is reflective in the category of temporal topological spaces. The necessary illustrative examples to elaborate on the obtained results and relationships are provided.