The proof of the isomorphism of the n -dimensional projective spaces defined axiomatically

Vojtech Bálint; Pavol Grešák; M. Kaštieľ; Josef Kateřiňák

Archivum Mathematicum (1998)

  • Volume: 034, Issue: 4, page 477-482
  • ISSN: 0044-8753

Abstract

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The paper gives a proof (without of using of “great” Desargues’ axiom) that any two axiomatically defined n - dimensional projective spaces are isomorphic.

How to cite

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Bálint, Vojtech, et al. "The proof of the isomorphism of the $n$-dimensional projective spaces defined axiomatically." Archivum Mathematicum 034.4 (1998): 477-482. <http://eudml.org/doc/248192>.

@article{Bálint1998,
abstract = {The paper gives a proof (without of using of “great” Desargues’ axiom) that any two axiomatically defined n - dimensional projective spaces are isomorphic.},
author = {Bálint, Vojtech, Grešák, Pavol, Kaštieľ, M., Kateřiňák, Josef},
journal = {Archivum Mathematicum},
keywords = {isomorphism; projective space; isomorphism; projective space; special Desargues' axiom},
language = {eng},
number = {4},
pages = {477-482},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {The proof of the isomorphism of the $n$-dimensional projective spaces defined axiomatically},
url = {http://eudml.org/doc/248192},
volume = {034},
year = {1998},
}

TY - JOUR
AU - Bálint, Vojtech
AU - Grešák, Pavol
AU - Kaštieľ, M.
AU - Kateřiňák, Josef
TI - The proof of the isomorphism of the $n$-dimensional projective spaces defined axiomatically
JO - Archivum Mathematicum
PY - 1998
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 034
IS - 4
SP - 477
EP - 482
AB - The paper gives a proof (without of using of “great” Desargues’ axiom) that any two axiomatically defined n - dimensional projective spaces are isomorphic.
LA - eng
KW - isomorphism; projective space; isomorphism; projective space; special Desargues' axiom
UR - http://eudml.org/doc/248192
ER -

References

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  1. Základy analytické geometrie I, Praha 1951. 
  2. Základy analytické geometrie II, Praha 1952. MR0063100
  3. Vysšaja geometria, Moskva 1971, (5. izdanie). 
  4. Konstrukce vektorového prostoru v n-rozměrném afinním prostoru, Sborník prací Vysoké školy dopravní a Výzkumného ústavu dopravního 15, 1968, 69-88, NADAS Praha. MR0250171

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