# History of various definitions of topology

This question is not actually a serious mathematical one. I have been reading Point Set Topology for a while, and turns out that there are various possible ways to define a topology. Most popular one is using open set axioms. Another one is using closure axioms, which was introduced by Kuratowski.

I am interested to know name of the researchers who had given the definition of topological spaces in the following ways:

1. Definition through Open sets (The most popular one)
2. Definition through neighbourhood system
3. Definition through interior points