Vipul: New page: {{induced subspace structure|proximity space}} ==Definition== Suppose $(X,\delta_X)$ is a proximity space, i.e., $X$ is a set and $\delta_X$ is a pro...

2008-11-25T01:28:45Z

New page: {{induced subspace structure|proximity space}} ==Definition== Suppose <math>(X,\delta_X)</math> is a proximity space, i.e., <math>X</math> is a set and <math>\delta_X</math> is a pro...

New page

{{induced subspace structure|proximity space}}

==Definition==

Suppose <math>(X,\delta_X)</math> is a [[proximity space]], i.e., <math>X</math> is a set and <math>\delta_X</math> is a proximity structure on <math>X</math>. Suppose <math>Y \subseteq X</math>. The induced proximity structure on <math>Y</math>, denoted <math>\delta_Y</math>, is defined as follows:

<math>\ \forall \ A,B \subseteq Y, \ A \ \delta_Y \ B \iff A \ \delta_X \ B</math>.

Proximity structure on subspace - Revision history

Vipul: New page: {{induced subspace structure|proximity space}} ==Definition== Suppose (X,\delta_X) is a proximity space, i.e., X is a set and \delta_X is a pro...

Vipul: New page: {{induced subspace structure|proximity space}} ==Definition== Suppose $(X,\delta_X)$ is a proximity space, i.e., $X$ is a set and $\delta_X$ is a pro...