>>11651904The other anon gave you the informal definition of a topological space, but topology more generally is about how things/objects/spaces are connected- so the main concept of topology is the connectedness of spaces- how we define connectedness of a space, how we determine what types of connections a space has, and how we classify spaces by their connections. You'll often hear topologists talking about how many "holes" a space has- this is intimately related to how "connected" a space is.
You know what a graph is right? Every finite graph ends up corresponding to the discrete topology of some some space, and vice versa. So if you take a graph, but think about it in more general terms, then you start seeing the motivation for the general concepts underlying topology.
You often hear topology referred to as "rubber sheet geometry"- this intuition, along with knots comes quite plainly out of the concept of a graph, where the distance between points and the curvature of edges don't matter change the equivalence between spaces but the types of connections and holes caused by those connections do.
