3 Matching Annotations
- Sep 2024
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opology has reached the point where a mathematician engagedin topological research is not only justified in calling himself a topologist,but he must specify whether he is a point set topologist, differentialtopologist, algebraic topologist, or some other topological specialist.
sub-branches of topology: - point-set topology<br /> - differential topology<br /> - algebraic topology
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- Dec 2021
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www.quantamagazine.org www.quantamagazine.org
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Mathematicians already had a method, known as Morse theory, for studying these critical points.
Morse theory can be used to study critical points.
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- Jun 2021
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en.wikipedia.org en.wikipedia.org
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To put it succinctly, differential topology studies structures on manifolds that, in a sense, have no interesting local structure. Differential geometry studies structures on manifolds that do have an interesting local (or sometimes even infinitesimal) structure.
Differential topology take a more global view and studies structures on manifolds that have no interesting local structure while differential geometry studies structures on manifolds that have interesting local structures.
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