mathematics, the Almgren–Pitts min-max theory (named after Frederick J. Almgren, Jr. and his student Jon T. Pitts) is an analogue of Morse theory for hypersurfaces...

other important conjectures, Marques and Neves greatly extended Almgren–Pitts min-max theory to prove theorems about minimal surfaces. Codá Marques was born...

the Almgren–Pitts min-max theory as it establishes existence of topologically non-trivial families of cycles, which were used by Frederick J. Almgren Jr...

Almgren regularity theorem Almgren–Pitts min-max theory Almgren Isomorphism Theorem O'Connor, John J.; Robertson, Edmund F., "Frederick J. Almgren Jr...

symplectic field theory, but this work was never published due to substantial analytic difficulties. Almgren–Pitts min-max theory Digital Morse theory – Digital...

mathematical theories. Almgren–Pitts min-max theory Approximation theory Arakelov theory Asymptotic theory Automata theory Bass–Serre theory Bifurcation theory Braid...

smooth immersed minimal surfaces. At the time it was known from Almgren–Pitts min-max theory the existence of at least one minimal surface. Kei Irie, Fernando...

received a Sloan Fellowship in 1981. The Almgren–Pitts min-max theory is named after his teacher and him. Pitts died on 30 May 2024. Existence and regularity...

International Press. ISBN 1-57146-002-0. MR 1474501. Zbl 0886.53004. Almgren–Pitts min-max theory Harmonic map Sphere theorem "Fellows Database | Alfred P. Sloan...

Neves proved the conjecture in the embedded case, using the Almgren–Pitts min-max theory of minimal surfaces. Prior to the proof of Marques and Neves...

Marques and Neves made novel use of the Almgren–Pitts min-max theory of the area functional from geometric measure theory; Li and Yau's approach depended on...

machinery of geometric measure theory. The Schoen−Simon estimates are fundamental for the general Almgren–Pitts min-max theory, and consequently for its various...

2012 by Ian Agol, Fernando C. Marques and André Neves, by using Almgren–Pitts min-max theory. Let γ i : S 1 → R 3 {\displaystyle \gamma _{i}:S^{1}\rightarrow...