Skip to main content
Log in

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  1. S. Breitsprecher, Uniforme projektive Ebenen, Math. Z. 95, (1967) 139–168.

    Article  MathSciNet  MATH  Google Scholar 

  2. R. H. Bruck, A Survey of Binary Systems, Springer Berlin 1971 (third printing, corrected)

    Book  MATH  Google Scholar 

  3. J. Dugundji, Topology, Allyn and Bacon Boston 1967.

    MATH  Google Scholar 

  4. R. Ellis, A note on the continuity of the inverse, Proc. Amer. Math. Soc. 8, (1957) 372–373.

    Article  MathSciNet  MATH  Google Scholar 

  5. R. Ellis, Locally compact transformation groups, Duke Math. J. 24, (1957) 119–125.

    Article  MathSciNet  MATH  Google Scholar 

  6. Th. Grundhöfer, Automorphism groups of compact projective planes, Geom. Dedicata, 21, (1986) 291–298.

    Article  MathSciNet  MATH  Google Scholar 

  7. H. Hähl, Automorphismengruppen von lokalkompakten zusammenhängenden Quasikörpern und Translationsebenen. Geom. Dedicata 4, (1975) 305–321.

    MATH  Google Scholar 

  8. H. Hähl, Kriterien für lokalkompakte topologische Quasikörper, Arch. Math. (Basel) 38, (1982) 273–279.

    Article  MATH  Google Scholar 

  9. P. Hartmann, Topologisierung projektiver Ebenen durch Epimorphismen, Dissertation München 1985.

    MATH  Google Scholar 

  10. D. R. Hughes andF.C. Piper, Projective Planes, Springer New York 1973.

    MATH  Google Scholar 

  11. N. Knarr andC. Weigand, Ein Kriterium für topologische Ternärkörper, Arch. Math. (Basel), 46, (1986) 368–370.

    Article  MathSciNet  MATH  Google Scholar 

  12. R. Löwen, Central collineations and the parallel axiom in stable planes, Geom. Dedicata 10, (1981) 283–315.

    Article  MathSciNet  MATH  Google Scholar 

  13. H. Lüneburg, Translation Planes, Springer Berlin 1980.

    Book  MATH  Google Scholar 

  14. H. Pfister, Continuity of the inverse, Proc. Amer. Math. Soc. 95, (1985) 312–314.J. B. Prolla, Topics in Functional Analysis over Valued Division Rings, North-Holland Amsterdam 1982.

    Article  MathSciNet  MATH  Google Scholar 

  15. R. Rink, Eine Klasse unendlicher verallgemeinerter André-Ebenen, Geom. Dedicata 6, (1977) 55–80.

    Article  MathSciNet  MATH  Google Scholar 

  16. R. Rink, Homomorphismen von Translationsebenen, Math. Z. 158, (1978) 265–273.

    Article  MathSciNet  MATH  Google Scholar 

  17. R. Rink, Spezielle Translationsebenen und ihre Homomorphismen, Geom. Dedicata 11, (1981) 147–175.

    Article  MathSciNet  MATH  Google Scholar 

  18. R. Rink, Eine Klasse topologischer Fastkörperebenen, Geom. Dedicata 19, (1985) 311–351.

    Article  MathSciNet  MATH  Google Scholar 

  19. R. Rink Zur Konstruktion lokal kompakter Dicksonscher Fastkörper, Geom. Dedicata 20, (1986) 93–119.

    Article  MathSciNet  MATH  Google Scholar 

  20. H. Salzmann, Topologische projektive Ebenen, Math. Z. 67, (1957) 436–466.

    Article  MathSciNet  MATH  Google Scholar 

  21. H. Salzmann, Topological Planes, Advances in Math. 2, (1967) 1–60.

    Article  MathSciNet  MATH  Google Scholar 

  22. H. Salzmann, Projectivities and the topology of lines. In: Geometry - von Staudt’s Point of View, Proc. Bad Windsheim 1980 (ed.P. Plaumann andK. Srambach), pp. 313-337, Reidel Dordrecht 1981.

  23. H. Scheerer andK. Strambach, Idempotente Multiplikationen, Math. Z. 182, (1983) 95–119.

    Article  MathSciNet  MATH  Google Scholar 

  24. H. -P. Seidel, Locally homogeneous ANR-spaces, Arch. Math. (Basel) 44, (1985) 79–81.

    Article  MathSciNet  MATH  Google Scholar 

  25. L. A. Skornjakov, Topological projective planes (in Russian), Trudy Moskov. Mat. Obšč. 3, (1954) 347–373.

    Google Scholar 

  26. S. Warner, Locally compact vector spaces and algebras over discrete fields, Trans. Amer. Math. Soc. 130, (1968) 463–493.

    Article  MathSciNet  MATH  Google Scholar 

  27. A. Weil, Basic Number Theory, Springer Berlin 1967.

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Grundhöfer, T. Ternary fields of compact protective planes. Abh.Math.Semin.Univ.Hambg. 57, 87–101 (1987). https://doi.org/10.1007/BF02941602

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02941602

Keywords

Navigation