Facts
Citation
PublisherWikimedia Foundation
URLhttps://en.wikipedia.org/wiki/Whitney_embedding_theorem
Source TypeEncyclopedia
Assessment
Reliability Tier2
Sources
Whitney embedding theorem (Wikipedia)
Wikimedia FoundationLead sectionQuote, Lead section
This is the best linear bound on the smallest-dimensional Euclidean space that all m-dimensional manifolds embed in, as the real projective spaces of dimension m cannot be embedded into real (2m - 1)-space if m is a power of two (as can be seen from a characteristic class argument, also due to Whitney).
Claims Backed By This Source (9 claims)
This source backs 9 claims across the atlas. As facts: 6 well-attested. As cited relationships: 2 holds. Plus 1 entities citing it as a general reference with no single fact or relationship attached.
Disposition By Topic
- Theorems, 5 claims: 2 well-attested, 2 holds, 1 general references.
- Sources, 4 claims: 4 well-attested.
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