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An analytic space is a generalization of an analytic manifold that allows singularities. An analytic space is a space that is locally the same as an analytic...

complex analytic variety or complex analytic space is a generalization of a complex manifold that allows the presence of singularities. Complex analytic varieties...

p-adic analytic manifolds, rigid analytic spaces admit meaningful notions of analytic continuation and connectedness. The basic rigid analytic object...

with complex manifolds and the more general analytic spaces defined locally by the vanishing of analytic functions of several complex variables. The deep...

In mathematics, a Berkovich space, introduced by Berkovich (1990), is a version of an analytic space over a non-Archimedean field (e.g. p-adic field),...

contrasts with synthetic geometry. Analytic geometry is used in physics and engineering, and also in aviation, rocketry, space science, and spaceflight. It...

corresponding analytic space is a variety, but the algebraic space is not. Algebraic spaces over the complex numbers are closely related to analytic spaces and...

an analytic function is a function that is locally given by a convergent power series. There exist both real analytic functions and complex analytic functions...

complex analytic space, or scheme. This perspective of equipping a topological space with a sheaf is essential to the theory of locally ringed spaces (see...

Look up analytic, analytical, or analyticity in Wiktionary, the free dictionary. Analytic or analytical may refer to: Analytical chemistry, the analysis...

properties of these functions is called several complex variables (and analytic space), which the Mathematics Subject Classification has as a top-level heading...

theory, a subset of a Polish space X {\displaystyle X} is an analytic set if it is a continuous image of a Polish space. These sets were first defined...

The analytic–synthetic distinction is a semantic distinction used primarily in philosophy to distinguish between propositions (in particular, statements...

coherent. Likewise, if Z {\displaystyle Z} is a closed analytic subspace of a complex analytic space X {\displaystyle X} , the ideal sheaf I Z / X {\displaystyle...

Community A-Space, or Analytic Space, is a project started in 2007 from the Office of the Director of National Intelligence's (ODNI) Office of Analytic Transformation...

example, Tate's invention of rigid analytic spaces can be said to have spawned the entire field of rigid analytic geometry. He found a p-adic analogue...

Roughly speaking, γ(K) measures the size of the unit ball of the space of bounded analytic functions outside K. It was first introduced by Lars Ahlfors in...

real analytic manifolds, although complex manifolds are also analytic. In algebraic geometry, analytic spaces are a generalization of analytic manifolds...

Complex analytic space Drinfeld's symmetric space Eilenberg–Mac Lane space Euclidean space Fiber space Finsler space First-countable space Fréchet space Function...

particular, it is a Stein manifold. Analytic space Complex coordinate space Complex polytope Exotic affine space *Berger, Marcel (1987), Geometry I, Berlin:...