Global Information Lookup Global Information

Mazur manifold information


In differential topology, a branch of mathematics, a Mazur manifold is a contractible, compact, smooth four-dimensional manifold-with-boundary which is not diffeomorphic to the standard 4-ball. Usually these manifolds are further required to have a handle decomposition with a single -handle, and a single -handle; otherwise, they would simply be called contractible manifolds. The boundary of a Mazur manifold is necessarily a homology 3-sphere.

and 19 Related for: Mazur manifold information

Request time (Page generated in 0.8143 seconds.)

Mazur manifold

Last Update:

topology, a branch of mathematics, a Mazur manifold is a contractible, compact, smooth four-dimensional manifold-with-boundary which is not diffeomorphic...

Word Count : 848

Barry Mazur

Last Update:

in number theory, Mazur's torsion theorem in arithmetic geometry, the Mazur swindle in geometric topology, and the Mazur manifold in differential topology...

Word Count : 878

Isometry

Last Update:

the manifold; a manifold with a (positive-definite) metric is a Riemannian manifold, one with an indefinite metric is a pseudo-Riemannian manifold. Thus...

Word Count : 2325

Geometric topology

Last Update:

Mazur received the Veblen Prize for their independent proofs of this theorem. Low-dimensional topology includes: Surfaces (2-manifolds) 3-manifolds 4-manifolds...

Word Count : 1751

List of things named after Stefan Banach

Last Update:

Banach manifold Banach measure Banach space Banach coordinate space Banach disks Banach norm Banach–Alaoglu theorem Banach–Mazur compactum Banach–Mazur game...

Word Count : 125

Schoenflies problem

Last Update:

n-ball? For n = 4, the problem is still open for both categories. See Mazur manifold. For n ≥ 5 the question in the smooth category has an affirmative answer...

Word Count : 4226

Arithmetic topology

Last Update:

Barry Mazur, c.1964 B. Mazur, Notes on ´etale cohomology of number fields, Ann. scient. ´Ec. Norm. Sup. 6 (1973), 521-552. A. Reznikov, Three-manifolds class...

Word Count : 513

Algebraic topology

Last Update:

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

Word Count : 2081

Local flatness

Last Update:

imbeddings [sic] of topological manifolds. Annals of Mathematics, Second series, Vol. 75 (1962), pp. 331–341. Mazur, Barry. On embeddings of spheres...

Word Count : 487

Stefan Banach

Last Update:

paradox, the Hahn–Banach theorem, the Banach–Steinhaus theorem, the Banach–Mazur game, the Banach–Alaoglu theorem, and the Banach fixed-point theorem. Stefan...

Word Count : 2699

Analytic torsion

Last Update:

topology; see (Mazur). For more recent work on torsion see the books (Turaev 2002) and (Nicolaescu 2002, 2003). If M is a Riemannian manifold and E a vector...

Word Count : 2130

Wild knot

Last Update:

their decorative purposes in Celtic-style ornamental knotwork. Eilenberg–Mazur swindle, a technique for analyzing connected sums using infinite sums of...

Word Count : 218

Morris Hirsch

Last Update:

Barry Mazur: Smoothings of piecewise linear manifolds, Princeton University Press 1974 with Charles C. Pugh, Michael Shub: Invariant Manifolds, Springer...

Word Count : 271

Connected sum

Last Update:

of connected sum is a geometric modification on manifolds. Its effect is to join two given manifolds together near a chosen point on each. This construction...

Word Count : 1850

Alexander Goncharov

Last Update:

Professor of Mathematics at Yale University, as well as the Gretchen and Barry Mazur Chair at the Institut des hautes études scientifiques. Goncharov, A.B. (1995)...

Word Count : 594

List of theorems

Last Update:

theorem (combinatorics) Banach–Alaoglu theorem (functional analysis) Banach–Mazur theorem (functional analysis) Banach fixed-point theorem (metric spaces...

Word Count : 5996

Oswald Veblen Prize in Geometry

Last Update:

Brown and Barry Mazur 1971 Robion Kirby 1971 Dennis Sullivan 1976 William Thurston 1976 James Harris Simons 1981 Mikhail Gromov for: Manifolds of negative...

Word Count : 1778

List of general topology topics

Last Update:

(topology) Ultrafilter Baire category theorem Nowhere dense Baire space Banach–Mazur game Meagre set Comeagre set Compact space Relatively compact subspace Heine–Borel...

Word Count : 393

Isomorphism

Last Update:

differential structure, typically differentiable manifolds. A symplectomorphism is an isomorphism of symplectic manifolds. A permutation is an automorphism of a...

Word Count : 3307

PDF Search Engine © AllGlobal.net