Joyal's CatLab
General topology



Topology is a ‘subfield’ of mathematics which attempts to capture and study the minimal structure of space. General topology seeks to do this through axiomatizing the idea of neighborhoods of a point. The first definition of a topological space seems to be due to Hausdorff in 1914. We will take a short detour and first introduce metric spaces and use it to explain the general axioms for a topological space.

Revised on September 2, 2012 at 01:14:41 by jstalfos