(locally convex topological vector space)
31Holomorphic function — A rectangular grid (top) and its image under a holomorphic function f (bottom). In mathematics, holomorphic functions are the central objects of study in complex analysis. A holomorphic function is a complex valued function of one or more complex …
32Neighbourhood system — In topology and related areas of mathematics, the neighbourhood system or neighbourhood filter for a point x is the collection of all neighbourhoods for the point x. A neighbourhood basis or local basis for a point x is a filter base of the… …
33List of convexity topics — This is a list of convexity topics, by Wikipedia page. Alpha blending Barycentric coordinates Borsuk s conjecture Bond convexity Carathéodory s theorem (convex hull) Choquet theory Closed convex function Concavity Convex analysis Convex… …
34Nuclear operator — In mathematics, a nuclear operator is roughly a compact operator for which a trace may be defined, such that the trace is finite and independent of the choice of basis (at least on well behaved spaces; there are some spaces on which nuclear… …
35Webbed space — Räume mit Gewebe werden in der mathematischen Disziplin der Funktionalanalysis betrachtet. Sie erlauben im Zusammenspiel mit den ultrabornologischen Räumen Verallgemeinerungen zweier zentraler Sätze aus der Theorie der Banachräume, das sind der… …
36Discontinuous linear map — In mathematics, linear maps form an important class of simple functions which preserve the algebraic structure of linear spaces and are often used as approximations to more general functions (see linear approximation). If the spaces involved are… …
37Infinite-dimensional holomorphy — In mathematics, infinite dimensional holomorphy is a branch of functional analysis. It is concerned with generalizations of the concept of holomorphic function to functions defined and taking values in complex Banach spaces (or Fréchet spaces… …
38Generalizations of the derivative — The derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, and geometry. Contents 1 Derivatives in analysis 1.1 Multivariable… …
39Lie group — Lie groups …
40Paracompact space — In mathematics, a paracompact space is a topological space in which every open cover admits a locally finite open refinement. Paracompact spaces are sometimes also required to be Hausdorff. Paracompact spaces were introduced by Dieudonné (1944).… …
