| Title:
|
The proof of the isomorphism of the $n$-dimensional projective spaces defined axiomatically (English) |
| Author:
|
Bálint, V. |
| Author:
|
Grešák, P. |
| Author:
|
Kaštieľ, M. |
| Author:
|
Kateřiňák, Josef |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
34 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
477-482 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper gives a proof (without of using of “great” Desargues’ axiom) that any two axiomatically defined n - dimensional projective spaces are isomorphic. (English) |
| Keyword:
|
isomorphism |
| Keyword:
|
projective space |
| MSC:
|
51A35 |
| idZBL:
|
Zbl 0970.51002 |
| idMR:
|
MR1679642 |
| . |
| Date available:
|
2009-02-17T10:16:08Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107675 |
| . |
| Reference:
|
[1] Čech, E.: Základy analytické geometrie I.Praha 1951. |
| Reference:
|
[2] Čech, E.: Základy analytické geometrie II.Praha 1952. MR 0063100 |
| Reference:
|
[3] Efimov, N. V.: Vysšaja geometria.Moskva 1971, (5. izdanie). |
| Reference:
|
[4] Kateřiňák, J.: Konstrukce vektorového prostoru v n-rozměrném afinním prostoru.Sborník prací Vysoké školy dopravní a Výzkumného ústavu dopravního 15, 1968, 69-88, NADAS Praha. MR 0250171 |
| . |
