Axiomatic foundations of topological spaces (source code)

= Axiomatic foundations of topological spaces
{wiki=Axiomatic_foundations_of_topological_spaces}

Axiomatic foundations of topological spaces refer to the formal set of axioms and definitions that provide a rigorous mathematical framework for the study of topological spaces. This framework was developed to generalize and extend notions of continuity, convergence, and neighborhoods, leading to the field of topology. \#\#\# Basic Definitions 1. **Set**: A topological space is built upon a set \\(X\\), which contains the points we are interested in.