Whitehead manifold information

the Whitehead manifold is an open 3-manifold that is contractible, but not homeomorphic to R 3 . {\displaystyle \mathbb {R} ^{3}.} J. H. C. Whitehead (1935)...

torus Whitehead manifold Meyerhoff manifold Weeks manifold For more examples see 3-manifold. Complex projective plane Del Pezzo surface E8 manifold Enriques...

now-named Whitehead manifold, which refuted his previous purported proof of the conjecture. Wikimedia Commons has media related to Whitehead links. Solomon's...

is contractible, as is any star domain on a Euclidean space. The Whitehead manifold is contractible. Spheres of any finite dimension are not contractible...

homeomorphic to a compact manifold with a closed subset of the boundary removed. The Whitehead manifold is an example of a contractible manifold that is not tame...

manifolds Knot complements Whitehead manifold Invariants Fundamental group Heegaard genus tri-genus Analytic torsion Orientable manifold Connected sum Jordan-Schönflies...

mathematician J. H. C. Whitehead. The Whitehead torsion is important in applying surgery theory to non-simply connected manifolds of dimension > 4: for...

theory. Smooth manifolds have canonical PL structures — they are uniquely triangulizable, by Whitehead's theorem on triangulation (Whitehead 1940) — but...

\end{cases}}\end{aligned}}} Cheerios Hyperbolic Dehn surgery Reeb foliation Whitehead manifold Donut Falconer, Kenneth (2004), Fractal Geometry: Mathematical Foundations...

manifold − A Hausdorff 2-dimensional real analytic manifold that is not paracompact. Real projective line Torus 3-torus Solid torus Unknot Whitehead manifold...

collapsed, no matter how bad the small subspace is. The Whitehead manifold is an example of a 3-manifold that is contractible but not simply connected at infinity...

of a simplicial complex or PL-manifold A, equal to Wh(π1(A)); see Whitehead torsion. All named after J. H. C. Whitehead. This disambiguation page lists...

PDiff). That every smooth (indeed, C1) manifold has a unique PL structure was originally proven in (Whitehead 1940). A detailed expositionary proof is...

not a manifold, it is a generalized homological manifold and a homotopy manifold. List of topologies Whitehead manifold, a contractible 3-manifold not homeomorphic...

cubic. The cusped hyperbolic 3-manifold obtained by (5, 1) Dehn surgery on the Whitehead link is the so-called sibling manifold, or sister, of the figure-eight...

smooth manifolds via de Rham cohomology, or Čech or sheaf cohomology to investigate the solvability of differential equations defined on the manifold in question...

timeline of manifolds, one of the major geometric concepts of mathematics. For further background see history of manifolds and varieties. Manifolds in contemporary...

for symplectic manifolds satisfying only this weaker condition to be called "weakly exact." Acyclic space Essential manifold Whitehead conjecture Gompf...

subspace X in Euclidean space, a sphere, or other manifold. It is generalized by Spanier–Whitehead duality. Let X {\displaystyle X} be a compact, locally...

2. Butler on Whitehead, Edited by Roland Faber, Michael Halewood, and Deena Lin (2012). ISBN 978-0-7391-7276-6 # 3. The Divine Manifold, Roland Faber...

structure space of the corresponding manifold. s-cobordism theorem h-cobordism theorem Whitehead torsion Dehn surgery Manifold decomposition Orientation character...

his work on the topology of smooth (differentiable) four-dimensional manifolds, Donaldson–Thomas theory, and his contributions to Kähler geometry. He...

a more delicate invariant. Whitehead torsion provides a key tool for the study of combinatorial or differentiable manifolds with nontrivial fundamental...