pointwise convergence

(redirected from Topology of pointwise convergence)

pointwise convergence

[′pȯint‚wīz kən′vər·jəns]
(mathematics)
A sequence of functions ƒ1, ƒ2,… defined on a set S converges pointwise to a function ƒ if the sequence ƒ1(x), ƒ2(x),… converges to ƒ(x) for each x in S.
References in periodicals archive ?
For a metric space, Iso(X) denotes the group of all surjective self-isometries of X equipped with the topology of pointwise convergence, induced by the embedding Iso(X) [?
infinity]] consists of all self-bijections of a countably infinite set w and is equipped with the Polish topology of pointwise convergence on [omega] with a discrete topology.