I've always been fascinated and somewhat confused by why some concepts are deemed geometric, topological, or algebraic in nature. Would it be fair to say that some notion of distance is requisite for a subject area to be called geometry? Is there any subfield of geometry that does not directly borrow from the study of metric spaces?
2026-04-13 10:43:47.1776077027
What distinguishes geometry from algebra and topology as a field of study--is all geometry metric geometry?
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