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Ask HN: What's a resource to teach Topology without reference to curves?
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.
- gus_massa 6y agoIn my university, the "official" book for topology is https://www.amazon.com/Topology-2nd-James-Munkres-dp-0131816292/dp/0131816292 https://www.amazon.com/Topology-2nd-James-Munkres-dp-0131816... It's quite advanced and assumes you have taken a few math courses, but it not centered in curves.
- Someone 6y agoI don’t know a resource to use, but I learned topology as starting with open sets (https://en.wikipedia.org/wiki/Open_set https://en.wikipedia.org/wiki/Open_set), and don’t even remember curves being part of topology (but it has been a while) Maybe that helps you search?