Vipul: New page: ==Definition== Suppose $(X,\delta_X)$ and $(Y,\delta_Y)$ are defining ingredient::proximity spaces. A function $f:X \to Y$ is termed a '''proximity ma...

2008-11-25T02:16:29Z

New page: ==Definition== Suppose <math>(X,\delta_X)</math> and <math>(Y,\delta_Y)</math> are defining ingredient::proximity spaces. A function <math>f:X \to Y</math> is termed a '''proximity ma...

New page

==Definition==

Suppose <math>(X,\delta_X)</math> and <math>(Y,\delta_Y)</math> are [[defining ingredient::proximity space]]s. A function <math>f:X \to Y</math> is termed a '''proximity map''' or '''proximal map''' if the following is true:

<math> \ forall \ A,B \subseteq Y, f^{-1}(A) \delta_X f^{-1}(B) \implies A \delta_Y B</math>.

Proximity map - Revision history

Vipul: New page: ==Definition== Suppose (X,\delta_X) and (Y,\delta_Y) are defining ingredient::proximity spaces. A function f:X \to Y is termed a '''proximity ma...

Vipul: New page: ==Definition== Suppose $(X,\delta_X)$ and $(Y,\delta_Y)$ are defining ingredient::proximity spaces. A function $f:X \to Y$ is termed a '''proximity ma...