convergence topology
11Uniform convergence — In the mathematical field of analysis, uniform convergence is a type of convergence stronger than pointwise convergence. A sequence {fn} of functions converges uniformly to a limiting function f if the speed of convergence of fn(x) to f(x) does… …
12Pointwise convergence — In mathematics, pointwise convergence is one of various senses in which a sequence of functions can converge to a particular function.[1][2] Contents 1 Definition 2 Properties …
13Wijsman convergence — In mathematics, Wijsman convergence is a notion of convergence for sequences (or, more generally, nets) of closed subsets of metric spaces, named after the mathematician Robert Wijsman. Intuitively, Wijsman convergence is to convergence in the… …
14Product topology — In topology and related areas of mathematics, a product space is the cartesian product of a family of topological spaces equipped with a natural topology called the product topology. This topology differs from another, perhaps more obvious,… …
15Dual topology — In functional analysis and related areas of mathematics a dual topology is a locally convex topology on a dual pair, two vector spaces with a bilinear form defined on them, so that one vector space becomes the continuous dual of the other space.… …
16Polar topology — In functional analysis and related areas of mathematics a polar topology, topology of mathcal{A} convergence or topology of uniform convergence on the sets of mathcal{A} is a method to define locally convex topologies on the vector spaces of a… …
17Normal convergence — In mathematics normal convergence is a type of convergence for series of functions. Like absolute convergence, it has the useful property that it is preserved when the order of summation is changed. Contents 1 History 2 Definition 3 Distinctions …
18Compact-open topology — In mathematics, the compact open topology is a topology defined on the set of continuous maps between two topological spaces. The compact open topology is one of the commonly used topologies on function spaces, and is applied in homotopy theory… …
19Weak operator topology — In functional analysis, the weak operator topology, often abbreviated WOT, is the weakest topology on the set of bounded operators on a Hilbert space H such that the functional sending an operator T to the complex number is continuous for any… …
20Strong operator topology — In functional analysis, a branch of mathematics, the strong operator topology, often abbreviated SOT, is the weakest topology on the set of bounded operators on a Hilbert space (or, more generally, on a Banach space) such that the evaluation map… …
