<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>In the article we prove that a family of open <italic>n</italic>-hypercubes is a basis of <italic>n</italic>-dimensional Euclidean space. The equality of the space and the product of <italic>n</italic> real lines has been proven.</p></abstract>

In the article we prove that a family of open n-hypercubes is a basis of n-dimensional Euclidean space. The equality of the space and the product of n real lines has been proven.

The Correspondence Between <italic>n</italic>-dimensional Euclidean Space and the Product of <italic>n</italic> Real Lines

Institute of Informatics, University of Białystok, Sosnowa 64, 15-887 Białystok, Poland

Formalized Mathematics

The Correspondence Between -dimensional Euclidean Space and the Product of  Real Lines

In the article we prove that a family of open n-hypercubes is a basis of n-dimensional Euclidean space. The equality of the space and the product of n real...

The Correspondence Between n-dimensional Euclidean Space and the Product of n Real Lines

Published Online: Jan 05, 2011

Page range: 81 - 85

DOI: https://doi.org/10.2478/v10037-010-0011-0

This content is open access.