Mazur manifold information

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

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

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

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

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

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...

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...

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

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

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

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...

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

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

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...

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)...

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

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

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

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