basic result
51EPR paradox — In quantum mechanics, the EPR paradox is a thought experiment which challenged long held ideas about the relation between the observed values of physical quantities and the values that can be accounted for by a physical theory. EPR stands for… …
52Morse theory — Morse function redirects here. In another context, a Morse function can also mean an anharmonic oscillator: see Morse potential In differential topology, the techniques of Morse theory give a very direct way of analyzing the topology of a… …
53Kodaira vanishing theorem — In mathematics, the Kodaira vanishing theorem is a basic result of complex manifold theory and complex algebraic geometry, describing general conditions under which sheaf cohomology groups with indices q > 0 are automatically zero. The… …
54Maps of manifolds — A Morin surface, an immersion used in sphere eversion. In mathematics, more specifically in differential geometry and topology, various types of functions between manifolds are studied, both as objects in their own right and for the light they… …
55CW complex — In topology, a CW complex is a type of topological space introduced by J. H. C. Whitehead to meet the needs of homotopy theory. This class of spaces is broader and has some better categorical properties than simplicial complexes, but still… …
56Van Kampen diagram — In the mathematical area of geometric group theory, a van Kampen diagram is a planar diagram used to represent the fact that a particular word among the generators of a group given by a group presentation represents the identity element in that… …
57Diophantine approximation — In number theory, the field of Diophantine approximation, named after Diophantus of Alexandria, deals with the approximation of real numbers by rational numbers. The absolute value of the difference between the real number to be approximated and… …
58Thue–Siegel–Roth theorem — In mathematics, the Thue–Siegel–Roth theorem, also known simply as Roth s theorem, is a foundational result in diophantine approximation to algebraic numbers. It is of a qualitative type, stating that a given algebraic number α may not have too… …
59Solomon Lefschetz — Infobox Scientist box width = name =Solomon Lefschetz image size = caption = birth date = September 3, 1884 birth place = Moscow, Russia death date = October 5, 1972 death place = residence = USA citizenship = nationality = Russian ethnicity =… …
60Direct integral — In mathematics and functional analysis a direct integral is a generalization of the concept of direct sum. The theory is most developed for direct integrals of Hilbert spaces and direct integrals of von Neumann algebras. The concept was… …
