Algebraic topology is a branch of mathematics that studies how shapes and spaces can be compared and classified using algebraic methods. It uses algebraic tools, such as groups and equations, to examine the properties that remain the same even when shapes are stretched, twisted, or bent. This field helps mathematicians understand the structure and properties of spaces by translating geometric problems into algebraic language.
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«algebraic»
«topology»
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Sentences with «algebraic topology»
- I'm a third year math student in the PhD program at the CUNY Graduate Center, and my research interests lie in algebraic topology with applications to quantum physics. (blog.feedspot.com)
- Using algebraic topology in a way that it has never been used before in neuroscience, a team from the Blue Brain Project has uncovered a universe of multi-dimensional geometrical structures and spaces within the networks of the brain. (sciencedaily.com)
- Perhaps functoriality had to await the further maturation of cross-disciplinary fields such as algebraic topology and algebraic geometry, but in light of Whitehead's eccentric tastes, we doubt that fifty years would have made much difference. (religion-online.org)
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