Skip to main content
Log in

A Class of Topological Affine Translation Planes Having no Topological Projective Extension

  • Published:
Results in Mathematics Aims and scope Submit manuscript

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.

Literatur

  1. D. Betten, 4-dimensionale Translationsebenen, Math. Z. 128 (1972), 129–151.

    Article  MathSciNet  MATH  Google Scholar 

  2. J. Dugundji, Topology, Allyn and Bacon Boston, 1966.

  3. J. Dugundji, Topology, Allyn and Bacon Boston, 1966.

  4. E. Eisele, Topological ternary fields not belonging to a topological projective plane, Abh. Math. Sem. Univ. Hamburg 60 (1990), 257–264.

    Article  MathSciNet  MATH  Google Scholar 

  5. E. Eisele, Cartesian groups not belonging to topological projective planes, J. Geom. 40 (1991), 35–46.

    Article  MathSciNet  MATH  Google Scholar 

  6. E. Eisele, Topologische Divisionsalgebren ohne zugehörige topologische affine Ebenen, Abh. Math. Sem. Hamburg, to appear.

  7. G. Grimeisen, Continuous incidence relations of topological projective planes, Acta Math. Hung. 41(3–4) (1983), 241–250.

    Article  MathSciNet  MATH  Google Scholar 

  8. Th. GrundhÖfer, Ternary fields of compact projective planes, Abh. Math. Sem. Hamburg 57 (1986), 87–101.

    Article  Google Scholar 

  9. P. Hartmann, Topologien von Moultonebenen, Geom. Dedicata 31 (1989), 321–332.

    Article  MathSciNet  MATH  Google Scholar 

  10. D.R. Hughes, F.C. PIPER, Projective planes, Springer NewYork, 1973.

    MATH  Google Scholar 

  11. H.-J. Kowalsky, Beiträge zur topologischen Algebra, Math. Nach. 11 (1954), 143–185.

    Article  MathSciNet  MATH  Google Scholar 

  12. S. Lang, Algebra, Wesley NewYork, 1965.

    MATH  Google Scholar 

  13. G. Pickert, Projektive Ebenen, 1. Auflage, Springer Berlin, 1955.

    Book  MATH  Google Scholar 

  14. L.S. Pontrjagin, Topologische Gruppen, Teil 1, Teubner Leipzig, 1957.

    MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  MathSciNet  MATH  Google Scholar 

  17. H. Salzmann, Topological planes, Advances in Math. 2 (1968), 1–60.

    Article  MathSciNet  Google Scholar 

  18. L.A. Skornjakov, Topological projective planes, Trudy Moskov Mat. Obšč. 3 (1954), 347–373 [Russisch].

    Google Scholar 

  19. B.L. Van Der Waerden, Algebra I, 5. Auflage, Springer Berlin, 1960.

    Book  Google Scholar 

  20. O. Wyler, Order and topology in projective planes, Amer. J. Math. 74 (1952), 656–666.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Eisele, E. A Class of Topological Affine Translation Planes Having no Topological Projective Extension. Results. Math. 23, 294–302 (1993). https://doi.org/10.1007/BF03322302

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03322302

1980 Mathematics Subject Classification

Key words and phrases

Navigation