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Results tagged with homotopy-groups-of-sphere
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user 4991
15
votes
What is the intuition for higher homotopy groups not vanishing?
Homotopy groups of spheres correspond to framed submanifolds of Euclidean space through the Pontrjagin-Thom construction. For example, the Hopf map corresponds to a circle in $\mathbb{R}^3$ framed “w …
- 4,990
19
votes
Modern survey of unstable homotopy groups?
Behrens's monograph "The Goodwillie tower and the EHP sequence" reproduces some of the Toda calculations (out to the k~20 range as you cite) using a modern toolset, as named in the title. Depending o …
- 4,990