Convexity on unions of sets

Gerard Sierksma

Compositio Mathematica (1980)

  • Volume: 42, Issue: 3, page 391-400
  • ISSN: 0010-437X

How to cite

top

Sierksma, Gerard. "Convexity on unions of sets." Compositio Mathematica 42.3 (1980): 391-400. <http://eudml.org/doc/89486>.

@article{Sierksma1980,
author = {Sierksma, Gerard},
journal = {Compositio Mathematica},
keywords = {convexity on unions of sets; abstract convexity space},
language = {eng},
number = {3},
pages = {391-400},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Convexity on unions of sets},
url = {http://eudml.org/doc/89486},
volume = {42},
year = {1980},
}

TY - JOUR
AU - Sierksma, Gerard
TI - Convexity on unions of sets
JO - Compositio Mathematica
PY - 1980
PB - Sijthoff et Noordhoff International Publishers
VL - 42
IS - 3
SP - 391
EP - 400
LA - eng
KW - convexity on unions of sets; abstract convexity space
UR - http://eudml.org/doc/89486
ER -

References

top
  1. [1] J. Eckhoff: Der Satz von Radon in Konvexen Produktstrukturen I. Monatshefte für Math.72 (1968) 303-314. Zbl0159.51701MR233285
  2. [2] J. Eckhoff: Der Satz von Radon in Konvexen Produktstrukturen II. Monatshefte für Math.73 (1969) 17-30. Zbl0174.53701MR243427
  3. [3] J. Eckhoff: Radon's Theorem Revisited. Proc. des Géométrie Symp. Siegen1978, Birkhauser VerlagBasel. Zbl0445.52009
  4. [4] R. Hammer: Beziehungen zwischen den Sätzen von Radon, Helly und Caratheodory bei axiomatischen Konvexitäten. Abhandlungen aus dem Math. Sem. der Univ. Hamburg46 (1977) 3-24. Zbl0367.52009MR500562
  5. [5] R.E. Jamison: A General Theory of Convexity. Doct. Diss., Univ. of Washington, Seattle, 1974. 
  6. [6] D.C. Kay and E.W. Womble: Axiomatic Convexity Theory and Relationships between the Carathéodory, Helly and Radon numbers. Pacific J. of Math.38 (1971) 471-485. Zbl0235.52001MR310766
  7. [7] F.W. Levi: On Helly's Theorem and the Axioms of Convexity. J. Indian Math. Soc.15 (1951) 65-76. Zbl0044.19101MR43487
  8. [8] G. Sierksma: Carathéodory and Helly numbers of Convex Product Structures. Pacific J. of Math.61 (1975) 275-282. Zbl0301.52002MR397562
  9. [9] G. Sierksma: Axiomatic Convexity Theory and the Convex Product Space. Doct. Diss., Univ. of Groningen, 1976. Zbl0336.52001
  10. [10] G. Sierksma: Relationships between Carathéodory, Helly, Radon and Exchange numbers of Convexity Spaces. Nieuw Arch. voor Wisk. (3), XXV (1977) 115-132. Zbl0354.52005MR514026

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.