Glasnik Matematicki, Vol. 44, No.1 (2009), 211-214.
SUR LES PLONGEMENTS DANS UN PRODUIT
SYMÉTRIQUE DE COMPACTS DE DIMENSION UN
Robert Cauty
Université Paris 6, Institut de Mathématiques,
case 247, 4 place Jussieu, 75252 Paris Cedex 05, France
e-mail: cauty@math.jussieu.fr
Abstract. We give a necessary condition for the embedding of a compactum in a
symmetric product of a one dimensional compactum.
2000 Mathematics Subject Classification.
54B20, 54F50.
Key words and phrases. Symmetric product, permutation product.
Full text (PDF) (free access)
DOI: 10.3336/gm.44.1.13
References:
- G. E. Bredon,
Introduction to compact transformation groups, Academic
Press, New York-London, 1972.
MathSciNet
- J. Dydak,
Cohomological dimension theory, in: Handbook of Geometric
Topology, R. J. Daverman and R. B. Sher editors, North-Holland, Amsterdam, 2002, 423-470.
MathSciNet
- A. Illanes and S. B. Nadler Jr,
Hyperspaces. Fundamentals and recent
advances, Marcel Dekker, New York, 1999.
MathSciNet
- A. Koyama, J. Krasinkiewicz and S. Spiez,
Embedding compacta into products
of curves, preprint, arXiv:math.GT/0712.3470.
- W. S. Massey,
Homology and cohomology theory, Marcel Dekker, New York-Basel, 1978.
MathSciNet
Glasnik Matematicki Home Page