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Almgren–Pitts min-max theory : ウィキペディア英語版 | Almgren–Pitts min-max theory In 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. It has played roles in the solutions to a number of conjectures in geometry and topology found by F. Almgren and J. Pitts themselves and also by other mathematicians, such as M. L. Gromov, R. Schoen, S.-T. Yau, F. C. Marques, A. A. Neves, I. Agol, among others.〔Helge Holden, Ragni Piene – The Abel Prize 2008-2012, p. 203.〕〔Robert Osserman – A Survey of Minimal Surfaces, p. 160.〕 ==Description and basic concepts==
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