On the Minimal Distance Between Sets in Euclidean Space

Journal of Formalized Mathematics
Volume 14, 2002
University of Bialystok
Copyright (c) 2002 Association of Mizar Users

On the Minimal Distance Between Sets in Euclidean Space

Andrzej Trybulec: University of Bialystok

Summary.

The concept of the minimal distance between two sets in a Euclidean space is introduced and some useful lemmas are proved.

This work has been partially supported by the European Community TYPES grant IST-1999-29001 and CALCULEMUS grant HPRN-CT-2000-00102. The work was completed while the author visited Shinhsu University (Nagano).

MML Identifier: JORDAN1K

The terminology and notation used in this paper have been introduced in the following articles [27] [29] [1] [28] [15] [26] [5] [30] [7] [6] [2] [16] [19] [25] [10] [24] [17] [8] [4] [11] [12] [13] [3] [21] [23] [14] [22] [9] [18] [20]

Contents (PDF format)

Preliminaries
Topological and Metrizable Spaces
Euclid Topological Spaces
Euclid Plane
Affine Maps
Minimal Distance Between Subsets
BDD and UBD
Main Definitions

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Received August 19, 2002

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