Some intersection and generation properties of convex sets

Robert E. Jamison

Compositio Mathematica (1977)

  • Volume: 35, Issue: 2, page 147-161
  • ISSN: 0010-437X

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Jamison, Robert E.. "Some intersection and generation properties of convex sets." Compositio Mathematica 35.2 (1977): 147-161. <http://eudml.org/doc/89344>.

@article{Jamison1977,
author = {Jamison, Robert E.},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {147-161},
publisher = {Noordhoff International Publishing},
title = {Some intersection and generation properties of convex sets},
url = {http://eudml.org/doc/89344},
volume = {35},
year = {1977},
}

TY - JOUR
AU - Jamison, Robert E.
TI - Some intersection and generation properties of convex sets
JO - Compositio Mathematica
PY - 1977
PB - Noordhoff International Publishing
VL - 35
IS - 2
SP - 147
EP - 161
LA - eng
UR - http://eudml.org/doc/89344
ER -

References

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  1. [1] C. Carathéodory: Über den Variabilitätsbereich der Fourierschen Konstanten von positiven harmonischen Funktionen. Rend. Circ. Mat. Palermo32 (1911) 193-217. Zbl42.0429.01JFM42.0429.01
  2. [2] L.W. Danzer, B. Grünbaum and V.L. Klee: Helly's theorem and its relatives. AMS Proc. Symp. CONVEXITYVII (1963) 101-180. Zbl0132.17401
  3. [3] H.G. Eggleston: ConvexityCambridge, Univ. Press, 1966. Zbl0086.15302MR124813
  4. [4] L. Gillman and M. Jerison: Rings of Continuous Functions. Princeton, Van Nostrand, 1960. Zbl0093.30001MR116199
  5. [5] E. Helly: Über Mengen konvexen Körper mit gemeinschaftlichen Punkten. Jber. Deutsch. Math. Verein.32 (1923) 175-176. Zbl49.0534.02JFM49.0534.02
  6. [6] R.E. Jamison: A General Theory of Convexity. Dissertation, Univ. of Washington, 1974. 
  7. [7] S. Karlin and L.S. Shapley: Some applications of a theorem on convex functions. Annals of Math.52 (1950) 148-153. Zbl0038.10202MR39227
  8. [8] J.L. Kelley: Topology. Princeton, Van Nostrand, 1955. MR70144
  9. [9] V.L. Klee: Critical set of a convex body. Amer. J. Math.75 (1953) 178-188. Zbl0050.16604MR52803
  10. [10] V.L. Klee: Structure of Semispaces. Math. Scand. (1956) 54-64. Zbl0070.39203MR80943
  11. [11] V.L. Klee: Infinite-dimensional intersection theorems. AMS Proc. Symp. CONVEXITYVII (1963) 349-360. Zbl0136.18804MR156176
  12. [12] V.L. Klee: Mimeographed lecture notes, Univ. of Washington, 1973. 

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