Limits and colimits of convexity spaces

Robert J. MacG. Dawson

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1987)

  • Volume: 28, Issue: 4, page 307-328
  • ISSN: 1245-530X

How to cite

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Dawson, Robert J. MacG.. "Limits and colimits of convexity spaces." Cahiers de Topologie et Géométrie Différentielle Catégoriques 28.4 (1987): 307-328. <http://eudml.org/doc/91410>.

@article{Dawson1987,
author = {Dawson, Robert J. MacG.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {alignments; Darboux maps; limits; colimits; coproduct; homology theory; convexity space},
language = {eng},
number = {4},
pages = {307-328},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Limits and colimits of convexity spaces},
url = {http://eudml.org/doc/91410},
volume = {28},
year = {1987},
}

TY - JOUR
AU - Dawson, Robert J. MacG.
TI - Limits and colimits of convexity spaces
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1987
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 28
IS - 4
SP - 307
EP - 328
LA - eng
KW - alignments; Darboux maps; limits; colimits; coproduct; homology theory; convexity space
UR - http://eudml.org/doc/91410
ER -

References

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  1. 1, G. Birkhoff & O. Frink, Representations of lattices by sets, Trans. AM.S.64 (1948), 299-316, Zbl0032.00504MR27263
  2. 2, M., do Carmo, Differentiable Geometry of curves and surfaces, Prentice-Hall, 1976, Zbl0326.53001MR394451
  3. 3, R.J. MacG, Dawson, Generalised convexities, Dissertation, Univ, of Cambridge, 1986, 
  4. 4, S.P.R. Hebbare, A class of distance-convex simple graphs, Ars Combinatoria7 (1979), 19-26, Zbl0451.05041MR539703
  5. 5, H. Herrlich & G.E. Strecker, Category Theory; an introduction, Berlin, 1979, Zbl0437.18001MR571016
  6. 6, R.E. Jamison-Waldner, A perspective on abstract convexity: classifying alignments by varieties, in Convexity and related Combinatorial Geometry [D,C, Kay, M, Breen, eds], New York1982, 113-150, Zbl0482.52001MR650310
  7. 7, P.T. Johnstone, Stone spaces, Cambridge Un, Press, 1982, Zbl0499.54001MR698074
  8. 8, D.C. Kay & E.W. Womble, Axiomatic convexity and the relationship between the Caratheodory, Helly, and Radon numbers, Pac. J. Math.38 (1971), 471-485, Zbl0235.52001MR310766
  9. 9, M. Lassak, Families of convex sets closed under intersections, homotheties, and uniting increasing sequences of sets, Fund. Math.120 (1984), 15-40, Zbl0517.52005MR745547
  10. 10, R.E. Levi, On Helly's Theorem and the axioms of convexity, J. Indiana Math. Soc.415 (1951), 65-76, Zbl0044.19101MR43487
  11. 11, J. van Mill & M. van de VEL, Subbases, convex sets, and hyperspaces, Pac. J. Math.92 (1981), 385-402, Zbl0427.54006MR618073
  12. 12, M. van de Vel, Finite-dimensional convex structures I: general results, Top. Appl.14 (1982), 201-225, Zbl0506.54027MR667667

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