## Bounding Boxes for Compact Sets in Ε² (1997)

### BibTeX

@MISC{Bylinski97boundingboxes,

author = {Czeslaw Bylinski and Piotr Rudnicki},

title = {Bounding Boxes for Compact Sets in Ε²},

year = {1997}

}

### OpenURL

### Abstract

this paper. 1. Preliminaries Let X be a set. Let us observe that X has non empty elements if and only if: (Def. 1) 0 / # X. We introduce X is without zero as a synonym of X has non empty elements. We introduce X has zero as an antonym of X has non empty elements. Let us note that R has zero and N has zero. Let us note that there exists a set which is non empty and without zero and there exists a set which is non empty and has zero. Let us observe that there exists a subset of R which is non empty and without zero and there exists a subset of R which is non empty and has zero. The following proposition is true (1) For every set F such that F is non empty and #-linear and has non empty elements holds F is centered. Let