Skip to main content
Log in

Verbandstheoretische Charakterisierungn-stufiger Geometrien

  • Published:
Archiv der Mathematik 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.

Literaturverzeichnis

  1. G. Birkhoff, Combinatorial relations in projective geometries. Ann. of Math., II. Ser.36, 743–748 (1935).

    Google Scholar 

  2. O. Frink, Complemented modular lattices of infinite length. Trans. Amer. Math. Soc.60, 452–467 (1946).

    Google Scholar 

  3. H.Hermes, EinfÜhrung in die Verbandstheorie. Berlin-Göttingen-Heidelberg 1955.

  4. A. J. Hoffman, On the foundations of inversion geometry. Trans. Amer. Math. Soc.71, 218–242 (1951).

    Google Scholar 

  5. B.Jónsson, Lattice-theoretic approach to projective and affine geometry. The axiomatic method (Hrsg. von L.Henkin, P.Suppes, A.Tarski). Studies in logic, 188–203. Amsterdam 1959.

  6. K. Menger, New foundations of projective and affine geometry. Ann. of Math., II. Ser.37, 456–482 (1936).

    Google Scholar 

  7. W. Prenowitz, Total lattices of convex sets and of linear spaces. Ann. of Math., II. Ser.49, 659–688 (1948).

    Google Scholar 

  8. U. Sasaki, Lattice theoretic characterization of affine geometry of arbitrary dimensions. J. Sci. Hiroshima Univ., Ser. A16, 223–238 (1952/53).

    Google Scholar 

  9. U. Sasaki, Lattice theoretic characterization of geometries satisfying „Axiome der VerknÜpfung“. J. Sci. Hiroshima Univ., Ser. A16, 417–423 (1952/53).

    Google Scholar 

  10. U. Sasaki, Semi-modularity in relatively atomic upper continuous lattices. J. Sci. Hiroshima Univ., Ser. A16, 409–416 (1952/53).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Herrn Professor Dr.Reinhold Baer zu seinem 65. Geburtstag in Dankbarkeit gewidmet

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wille, R. Verbandstheoretische Charakterisierungn-stufiger Geometrien. Arch. Math 18, 465–468 (1967). https://doi.org/10.1007/BF01899483

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01899483

Navigation