| Title:
|
Sur l'existence de $n$-losanges réguliers inscrits dans un corps compact convexe (French) |
| Title:
|
On the existence of the regular $n$-rhombi inscribed in a convex compact body (English) |
| Author:
|
Fourneau, René |
| Author:
|
Leytem, Charles |
| Language:
|
French |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
19 |
| Issue:
|
1 |
| Year:
|
1978 |
| Pages:
|
151-164 |
| . |
| Category:
|
math |
| . |
| MSC:
|
52A20 |
| MSC:
|
52A45 |
| idZBL:
|
Zbl 0392.52006 |
| idMR:
|
MR0474041 |
| . |
| Date available:
|
2008-06-05T20:57:41Z |
| Last updated:
|
2012-04-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105842 |
| . |
| Reference:
|
[1] BAIR J., FOURNEAU R.: Etude géométrique des espaces vectoriels: une introduction.Lecture Notes in Math., vol. 489, Springer-Verlag, Berlin - Heidelberg - New York. 1975. Zbl 0334.50001, MR 0493253 |
| Reference:
|
[2] BAIR J., JONGMANS F.: Sur les graves questions qui naissent quand la décomposition des ensembles atteint un stade avancé.à paraître dans Bull. Soc. Roy. Sc. Liège. Zbl 0371.52001, MR 0470848 |
| Reference:
|
[3] CHRISTENSEN C. M.: Kvadrat indskrevet i konveks figur.Mat. Tidsskift, 1950 B, 22-26. MR 0039284 |
| Reference:
|
[4] DIETSCHI U.: Eilinien und unbeschriebene Rhomben.Diplomschrift, Universitat Bern, 1974. |
| Reference:
|
[5] GUGGENHEIMER H.: Finite sets on curves and surfaces.Israel J. Math. 3 (1965), 104-112. Zbl 0135.39904, MR 0188898 |
| Reference:
|
[6] JERRARD P.: Inscribed squares in plane curves.Trans. Amer. Math. Soc. 98 (1961), 234-241. Zbl 0097.38302, MR 0120604 |
| Reference:
|
[7] JONGMANS F.: Notions de topologie générale.édition ronéotypée, Liège, 1969. |
| Reference:
|
[8] LARMAN D. G., MANI P.: Regular crosspolytopes inscribed to spherical surfaces.à paraître. |
| Reference:
|
[9] PUCCI C.: Sulla inscrivibilita di un ottaedro regolare in un insieme convesso limitato dello spazio oгdinario.Atti della Ac. Naz. dei Lincei; Rendiconti, Classe delle Scienze Fisiche, Matematiche e Naturali 8 (1956), 61-65. MR 0091484 |
| Reference:
|
[10] SCHNIRELMAN L. G.: O nekotoryh geometriceskih svojstvah zamknutyh krivyh.Sbornik rabot matematičeskogo razdela sekcii estestvennyh i tocnyh nauk komakademii, Moskva, 1929. Reproduit dans Uspehi Matematiceskih Nauk 10 (1944), 34-44. |
| Reference:
|
[11] YAMABE H., YUJOBO Z.: On the continuous functions defined on a sphere.Osaka Math. Journal 2 (1950), 19-22. MR 0037006 |
| Reference:
|
[12] WEIL W.: Einschachtelung konvexer Körper.Archiv der Math. 26 (1975), 666-669. Zbl 0326.52010, MR 0405242 |
| . |
