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I agree. But what about knot theory? Simplicial complexes and buildings? Has Euclidean geometry topological aspects?
I fix the main difference in the word "meter". One doesn't need to measure in topology and on the other hand, what is geometry without angles and lengths? They both meet in algebra and group theory as well as in differential geometry, but there are vast fields aside of them.
I fix the main difference in the word "meter". One doesn't need to measure in topology and on the other hand, what is geometry without angles and lengths? They both meet in algebra and group theory as well as in differential geometry, but there are vast fields aside of them.