Topology is the language of structure in general, but every resource (that I've encountered) on topology teaches about curves. So continuous functions on curves, curves in space. And everything pertaining to functions, sets, and spaces is always in reference to curves.

What would be something that teaches general topology WITHOUT reference to curves? This is because I want to understand what topology has to say about structure in all different kinds of contexts (logic, information, etc...) not just geometry.