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What problem in the physical world does a knowledge of A1 homotopy theory enable you to solve?
by dsr_ 10mo ago
What problem in the physical world does a knowledge of A1 homotopy theory enable you to solve?
- aleph_minus_one 10mo agoA¹ homotopy is currently still a research area, but if you read the linked Wikipedia article: "The underlying idea is that it should be possible to develop a purely algebraic approach to homotopy theory by replacing the unit interval [0, 1], which is not an algebraic variety, with the affine line A¹, which is." In other words: it's a novel approach towards homotopy theory, which does have applications in the physical world. Even better (Wikipedia article): "[A¹ homotopy theory] has also recently revolutionized the theory of enumerative geometry problems." Enumerative geometry does have applications in the physical world.
- kinkyusa 9mo agohttps://www.ecfr.gov/current/title-7/subtitle-B/chapter-XVII/part-1755/section-1755.405 https://www.ecfr.gov/current/title-7/subtitle-B/chapter-XVII...