proximity continuous

Let $(P,\delta)$ and $(Q,\epsilon)$ be proximity spaces.

A function $f:P\to Q$ is said to be proximity continuous if for any subsets $A,B\subseteq P$ , $A\mathrel{\delta}B$ implies that $f(A)\mathrel{\epsilon}f(B)$ .

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	$\delta$ -continuous