Whitehead theorem information

In homotopy theory (a branch of mathematics), the Whitehead theorem states that if a continuous mapping f between CW complexes X and Y induces isomorphisms...

the Poincaré conjecture, correcting an error in an earlier paper Whitehead (1934, theorem 3) where he incorrectly claimed that no such manifold exists. A...

fixed-point theorem Leray–Hirsch theorem Poincaré duality theorem Seifert–van Kampen theorem Universal coefficient theorem Whitehead theorem Algebraic K-theory...

(mathematical logic) Whitehead theorem (homotopy theory) Whitney embedding theorem (differential manifolds) Whitney extension theorem (mathematical analysis)...

groups of spheres Plus construction Whitehead theorem Weak equivalence Hurewicz theorem H-space Künneth theorem De Rham cohomology Obstruction theory...

Automated theorem proving (also known as ATP or automated deduction) is a subfield of automated reasoning and mathematical logic dealing with proving...

_{1}(A\cap B)} and the generalised Whitehead products. The proof of this theorem uses a higher homotopy van Kampen type theorem for triadic homotopy groups,...

the s-cobordism theorem states that if the manifolds are not simply-connected, an h-cobordism is a cylinder if and only if the Whitehead torsion of the...

Alfred North Whitehead OM FRS FBA (15 February 1861 – 30 December 1947) was an English mathematician and philosopher. He created the philosophical school...

always contained in a finite subcomplex. CW complexes satisfy the Whitehead theorem: a map between CW complexes is a homotopy equivalence if and only...

contractible if all of its homotopy groups are trivial. It follows from Whitehead's Theorem that if a CW-complex is weakly contractible then it is contractible...

structures — they are uniquely triangulizable, by Whitehead's theorem on triangulation (Whitehead 1940) — but PL manifolds do not always have smooth...

incompleteness theorem of 1931, previous examples of undecidable statements (such as the continuum hypothesis) had all been in pure set theory. The Whitehead problem...

then X is a contractible space, as follows from the Whitehead theorem and the Hurewicz theorem. Acyclic spaces occur in topology, where they can be used...

yα. Since B is assumed to support a C∞ structure, according to the Whitehead theorem one can fix a Riemannian metric on B and choose the atlas U {\displaystyle...

contractible. Indeed, contractibility of a universal cover is the same, by Whitehead's theorem, as asphericality of it. And it is an application of the exact sequence...

term. This result was later generalized by Rice's theorem. In 1973, Saharon Shelah showed the Whitehead problem in group theory is undecidable, in the first...

Deligne (1980). Milnor 1963, Theorem 7.3 and Corollary 7.4 Voisin 2003, Theorem 1.23 Lefschetz 1924 Griffiths, Spencer & Whitehead 1992 Andreotti & Frankel...

popular book Fermat's Last Theorem. Wiles has been awarded a number of major prizes in mathematics and science: Junior Whitehead Prize of the London Mathematical...

computational demonstration of theorems in PM Introduction to Mathematical Philosophy Hardy 2004, p. 83. Littlewood 1986, p. 130. Whitehead, Alfred North; Russell...