Simplicial homology of preconvexity spaces
Cahiers de Topologie et Géométrie Différentielle Catégoriques (1993)
- Volume: 34, Issue: 4, page 321-346
- ISSN: 1245-530X
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topDawson, Robert J. MacG.. "Simplicial homology of preconvexity spaces." Cahiers de Topologie et Géométrie Différentielle Catégoriques 34.4 (1993): 321-346. <http://eudml.org/doc/91532>.
@article{Dawson1993,
author = {Dawson, Robert J. MacG.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {convexity space; preconvexity space; homology functors; Riemannian manifold},
language = {eng},
number = {4},
pages = {321-346},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {Simplicial homology of preconvexity spaces},
url = {http://eudml.org/doc/91532},
volume = {34},
year = {1993},
}
TY - JOUR
AU - Dawson, Robert J. MacG.
TI - Simplicial homology of preconvexity spaces
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1993
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 34
IS - 4
SP - 321
EP - 346
LA - eng
KW - convexity space; preconvexity space; homology functors; Riemannian manifold
UR - http://eudml.org/doc/91532
ER -
References
top- 1 M. do Carmo, Differential geometry of curves and surfaces, Prentice Hall, 1976. Zbl0326.53001MR394451
- 2 R. J. Mac G. Dawson, Generalised convexities, Dissertation, Univ. of Cambridge, 1986.
- 3 R.J. Mac G. Dawson, A simplification of the Eilenberg-Steenrod axioms for finite simplicial complexes, J. Pure and Appl. Algebra53 (1988), 257-265. Zbl0659.55004MR961363
- 4 R.J. Mac G. Dawson, Limits and colimits of convexity spaces, Cahiers Top. & Geom. Diff. Categ.XXVIII-4 (1987), 307-328. Zbl0637.52001MR926549
- 5 R.J. Mac G. Dawson, Homology of weighted simplicial complexes, Cahiers Top. & Geom. Diff. Categ. ?? Zbl0735.18011
- 6 C.H. Dowker, Homology groups of relations, Ann. Math.56 (1952), 84-95. Zbl0046.40402MR48030
- 7 S. Eilenberg & N. Steenrod, Foundations of algebraic Topology. Princeton1952. Zbl0047.41402MR50886
- 8 R.E. Jamison-Waldner, A perspective on abstract convexity: classifying alignments by varieties, in Convexity and related combinatorial Geometry (Ed. Kay and Breen), New York1982, 113-150. Zbl0482.52001MR650310
- 9 G.M. Kelly, Single-space axioms for homology theory, Proc. Cambridge Phil. Soc.55 (1959), 10-22. Zbl0084.19001MR108787
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