Not to be confused with Whitehead theorem or Whitehead problem.
The Whitehead conjecture (also known as the Whitehead asphericity conjecture) is a claim in algebraic topology. It was formulated by J. H. C. Whitehead in 1941. It states that every connected subcomplex of a two-dimensional aspherical CW complex is aspherical.
A group presentation is called aspherical if the two-dimensional CW complex associated with this presentation is aspherical or, equivalently, if . The Whitehead conjecture is equivalent to the conjecture that every sub-presentation of an aspherical presentation is aspherical.
In 1997, Mladen Bestvina and Noel Brady constructed a group G so that either G is a counterexample to the Eilenberg–Ganea conjecture, or there must be a counterexample to the Whitehead conjecture; in other words, it is not possible for both conjectures to be true.
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Whiteheadconjecture (also known as the Whitehead asphericity conjecture) is a claim in algebraic topology. It was formulated by J. H. C. Whitehead in...
remains undecidable even if one assumes the continuum hypothesis. The Whiteheadconjecture is true if all sets are constructible. That this and other statements...
time? Volume conjecture relating quantum invariants of knots to the hyperbolic geometry of their knot complements. Whiteheadconjecture: every connected...
object while he was trying to prove the Poincaré conjecture, correcting an error in an earlier paper Whitehead (1934, theorem 3) where he incorrectly claimed...
no cusps. The Whitehead link is named for J. H. C. Whitehead, who spent much of the 1930s looking for a proof of the Poincaré conjecture. In 1934, he used...
condition to be called "weakly exact." Acyclic space Essential manifold Whiteheadconjecture Gompf, Robert E. (1998). "Symplectically aspherical manifolds with...
as Milnor's conjecture. The general case was conjectured by Spencer Bloch and Kazuya Kato and became known as the Bloch–Kato conjecture or the motivic...
his attention at the age of 33 by Ken Ribet's 1986 proof of the epsilon conjecture, which Gerhard Frey had previously linked to Fermat's equation. In 1974...
his work in Ramsey theory and for his progress on Sidorenko's conjecture, and the Whitehead Prize in 2019. Conlon represented Ireland in the International...
that imply the existence of a measurable cardinal The truth of Whitehead'sconjecture that every abelian group A with Ext1(A, Z) = 0 is a free abelian...
now widely accepted but not yet fully published, of Goldbach's weak conjecture. Helfgott was born on 25 November 1977 in Lima, Peru. He graduated from...
mathematician. His name has been given to the Birch and Swinnerton-Dyer conjecture. Bryan John Birch was born in Burton-on-Trent, the son of Arthur Jack...
to either the Whitehead asphericity conjecture or to the Eilenberg−Ganea conjecture, thus showing that at least one of these conjectures must be false...
In the branch of mathematics called knot theory, the volume conjecture is an open problem that relates quantum invariants of knots to the hyperbolic geometry...
= 0 is called a Whitehead group; MA + ¬CH proves the existence of a non-free Whitehead group, while V = L proves that all Whitehead groups are free....
It is a well-known conjecture that the Whitehead group of any torsion-free group should vanish. At first we define the Whitehead torsion τ ( h ∗ ) ∈...
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