Talk:Homotopy groups of spheres

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Homotopy groups of spheres was one of the Mathematics good articles, but it has been removed from the list. There are suggestions below for improving the article to meet the good article criteria. Once these issues have been addressed, the article can be renominated. Editors may also seek a reassessment of the decision if they believe there was a mistake.

Article milestones
Date	Process	Result
May 25, 2006	Good article nominee	Listed
October 6, 2007	Good article reassessment	Kept
September 11, 2022	Good article reassessment	Delisted

Current status: Delisted good article

Mathematics Mid‑priority

	Mathematics portal This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join the discussion and see a list of open tasks.MathematicsWikipedia:WikiProject MathematicsTemplate:WikiProject Mathematicsmathematics
Mid	This article has been rated as Mid-priority on the project's priority scale.
	This was a selected article on the Mathematics Portal.

Historical surprise?

I searched a while for a source backing the claim this article makes that it "came as a great surprise historically" that the homotopy groups of spheres are not always trivial for i > n and I wasn't able to find a source. I find this concerning because there are some unreliable online sources that make this claim (e.g. Google AI Overview, Wolfram MathWorld), and I think they probably get it from Wikipedia. Can anyone find a source for this claim, or is it a myth, or maybe is it true but unsourceable? Mathwriter2718 (talk) 03:11, 2 January 2025 (UTC)[reply]