On a topological characterization of plane geometries

Istvan Fary

Séminaire Ehresmann. Topologie et géométrie différentielle (1965)

  • Volume: 7, page 1-33

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Fary, Istvan. "On a topological characterization of plane geometries." Séminaire Ehresmann. Topologie et géométrie différentielle 7 (1965): 1-33. <http://eudml.org/doc/112202>.

@article{Fary1965,
author = {Fary, Istvan},
journal = {Séminaire Ehresmann. Topologie et géométrie différentielle},
keywords = {foundations of geometry},
language = {fre},
pages = {1-33},
publisher = {Secrétariat mathématique},
title = {On a topological characterization of plane geometries},
url = {http://eudml.org/doc/112202},
volume = {7},
year = {1965},
}

TY - JOUR
AU - Fary, Istvan
TI - On a topological characterization of plane geometries
JO - Séminaire Ehresmann. Topologie et géométrie différentielle
PY - 1965
PB - Secrétariat mathématique
VL - 7
SP - 1
EP - 33
LA - fre
KW - foundations of geometry
UR - http://eudml.org/doc/112202
ER -

References

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  3. [ 3] Chevalley. Theory of Lie Groups, I, Princeton, University Press, 1946. Zbl0063.00842MR82628
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  7. [7] Fary. Sur la dimension des groupes d'homéomorphismes egalement continus du plan, Comptes rendus de l'Académie, Paris, 228 (1949), pp. 801- 803. Zbl0041.32003MR29163
  8. [8] Hurewicz and Wallman. Dimension Theory, Princeton University Press, 1948. Zbl0036.12501
  9. [9] Hilbert. Anhang IV, Uber die Grundlagen der Geometrie, in Grundlagen der Geometrie, 4 th ed., Teubner, Berlin, 1913. JFM44.0543.02
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  11. [11] Kerekjarto. Vorlesungen uber Topologie, I, Springer, Berlin1923. JFM49.0396.07
  12. [12] Kerekjarto. Uber die fixpunktfreien Abbildungen der Ebene, Acta Szeged6 (1934), pp. 226 - 234 . Zbl0008.37201
  13. [13] Kerekjarto. Topologische Characterisierung der linearen Abbildungen, Acta Szeged, 6 (1934), pp. 235-262. Zbl0008.37202
  14. [14] Kerekjarto. Sur la structure des transformations topologiques des surfaces en elles memes, L'enseignement mathématique, 35 (1936), pp. 297 - 316 . Zbl0016.04403
  15. [15] Newman. A theorem on periodic transformations of spaces, Quart. Journ. of Math., Oxford Series, 2 (1931), pp. 1 - 8. Zbl0001.22703
  16. [16] Pontryagin. Topological Groups, Princeton University Press, 1939. Zbl0022.17104
  17. [17] Riesz. Uber einen Satz der Analysis Situs, Math. Annalen, 59 (1904), pp. 409 - 415 . Zbl35.0505.02MR1511277JFM35.0505.02
  18. [18] Terasaka. Ein Beweis des Brouwerschen ebenen Translationssatzes, Japanese Journ. of Math.7 (1930), pp. 61 - 69. JFM56.1131.03
  19. [19] Zippin. Transformation Groups, Lectures in Topology, University of Michigan Press, Ann Arbor, Mich, 1940 , pp. 191 - 221 . Zbl0063.08404MR5303

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