Dimension of convex hyperspaces : nonmetric case

M. Van de Vel

Compositio Mathematica (1983)

  • Volume: 50, Issue: 1, page 95-108
  • ISSN: 0010-437X

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Van de Vel, M.. "Dimension of convex hyperspaces : nonmetric case." Compositio Mathematica 50.1 (1983): 95-108. <http://eudml.org/doc/89622>.

@article{VandeVel1983,
author = {Van de Vel, M.},
journal = {Compositio Mathematica},
keywords = {rank; convex hyperspace dimension; nonmetric spaces; invariants of convex hyperspaces; subcontinua in a tree},
language = {eng},
number = {1},
pages = {95-108},
publisher = {Martinus Nijhoff Publishers},
title = {Dimension of convex hyperspaces : nonmetric case},
url = {http://eudml.org/doc/89622},
volume = {50},
year = {1983},
}

TY - JOUR
AU - Van de Vel, M.
TI - Dimension of convex hyperspaces : nonmetric case
JO - Compositio Mathematica
PY - 1983
PB - Martinus Nijhoff Publishers
VL - 50
IS - 1
SP - 95
EP - 108
LA - eng
KW - rank; convex hyperspace dimension; nonmetric spaces; invariants of convex hyperspaces; subcontinua in a tree
UR - http://eudml.org/doc/89622
ER -

References

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  1. [1] J. Eckhoff: Der Satz von Radon in konvexen Produktstrukturen II. Monatsh. für Math.73 (1969) 7-30. Zbl0174.53701MR243427
  2. [2] R.E. Jamison: A General Theory of Convexity. Dissertation, University of Washington, Seattle, Washington, 1974. 
  3. [3] J.D. Lawson: The relation of breadth and co-dimension in topological semilattices. Duke Math. J.37 (2) (1970) 207-212. Zbl0199.32301MR258687
  4. [4] J.D. Lawson: The relation of breadth and co-dimension in topological semilattices II. Duke Math. J.38 (3) (1971) 555-559. Zbl0243.06004MR282891
  5. [5] J. &gt; Van Mill and M. Van De Vel: Subbases, convex sets, and hyperspaces. Pacific J. Math.92 (2) (1981) 385-402. Zbl0427.54006MR618073
  6. [6] J. Van Mill and M. Van De Vel: Equality of the Lebesgue and the inductive dimension functions for compact spaces with a uniform convexity. Coll. Math., to appear. Zbl0609.54025MR857852
  7. [7] M. Van De Vel: Pseudo-boundaries and pseudo-interiors for topological convexities. Diss. Math.210 (1983) 1-72. Zbl0528.52004MR695220
  8. [8] M. Van De Vel: Finite dimensional convex structures I: general results. Top Appl. 14 (1982) 201-225. Zbl0506.54027MR667667
  9. [9] M. Van De Vel: Finite dimensional convex structures II: the invariants. Top. Appl.16 (1983) 81-105. Zbl0556.52001MR702622
  10. [10] M. Van De Vel: A selection theorem for topological convex structures, to appear. Zbl0781.52002MR1169083
  11. [11] M. Van De Vel: On the rank of a topological convexity. Fund. Math.119, to appear. Zbl0558.52005MR731813
  12. [12] M. Van De Vel: Dimension of convex hyperspaces. Fund. Math., to appear. Zbl0557.54026MR753019

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