proximity continuous

Let (P,δ) and (Q,ϵ) be proximity spaces.

A function f:PQ is said to be proximity continuous if for any subsets A,BP, A𝛿B implies that f(A)ϵf(B).

Title proximity continuous
Canonical name ProximityContinuous
Date of creation 2013-03-22 16:56:12
Last modified on 2013-03-22 16:56:12
Owner porton (9363)
Last modified by porton (9363)
Numerical id 12
Author porton (9363)
Entry type Definition
Classification msc 54C08
Classification msc 54C05
Classification msc 54E17
Classification msc 54E05
Synonym near-continuousness
Defines δ-continuousPlanetmathPlanetmath