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

Artur Korniłowicz

Formalized Mathematics (2010)

  • Volume: 18, Issue: 1, page 81-85
  • ISSN: 1426-2630

Abstract

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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.

How to cite

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Artur Korniłowicz. " The Correspondence Between n -dimensional Euclidean Space and the Product of n Real Lines ." Formalized Mathematics 18.1 (2010): 81-85. <http://eudml.org/doc/267108>.

@article{ArturKorniłowicz2010,
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.},
author = {Artur Korniłowicz},
journal = {Formalized Mathematics},
language = {eng},
number = {1},
pages = {81-85},
title = { The Correspondence Between n -dimensional Euclidean Space and the Product of n Real Lines },
url = {http://eudml.org/doc/267108},
volume = {18},
year = {2010},
}

TY - JOUR
AU - Artur Korniłowicz
TI - The Correspondence Between n -dimensional Euclidean Space and the Product of n Real Lines
JO - Formalized Mathematics
PY - 2010
VL - 18
IS - 1
SP - 81
EP - 85
AB - 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.
LA - eng
UR - http://eudml.org/doc/267108
ER -

References

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