Une caractérisation des rétractes absolus de voisinage
Cauty, Robert
Fundamenta Mathematicae, Tome 144 (1994), p. 11-22 / Harvested from The Polish Digital Mathematics Library

We prove that a metric space is an ANR if, and only if, every open subset of X has the homotopy type of a CW-complex.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:212011
@article{bwmeta1.element.bwnjournal-article-fmv144i1p11bwm,
     author = {Robert Cauty},
     title = {Une caract\'erisation des r\'etractes absolus de voisinage},
     journal = {Fundamenta Mathematicae},
     volume = {144},
     year = {1994},
     pages = {11-22},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv144i1p11bwm}
}
Cauty, Robert. Une caractérisation des rétractes absolus de voisinage. Fundamenta Mathematicae, Tome 144 (1994) pp. 11-22. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv144i1p11bwm/

[00000] [1] C. J. R. Borges, On stratifiable spaces, Pacific J. Math. 17 (1966), 1-16. | Zbl 0175.19802

[00001] [2] R. Cauty, Convexité topologique et prolongement des fonctions continues, Compositio Math. 27 (1973), 233-271. | Zbl 0275.54015

[00002] [3] T. tom Dieck, K. H. Kamps und D. Puppe, Homotopietheorie, Lecture Notes in Math. 157, Springer, Berlin, 1970.

[00003] [4] C. H. Dowker, Mapping theorems for non-compact spaces, Amer. J. Math. 69 (1947), 200-242. | Zbl 0037.10101

[00004] [5] R. Engelking, General Topology, PWN, Warszawa, 1977.

[00005] [6] R. Geoghegan, Conjecture 6, in: Proc. Internat. Conf. on Geometric Topology, Warszawa, 1978, Presented Problems, PWN, Warszawa, 1980, p. 463.

[00006] [7] R. Geoghegan, Open problems in infinite-dimensional topology, Topology Proc. 4 (1979), 287-338. | Zbl 0448.57001

[00007] [8] J. B. Giever, On the equivalence of two singular homology theories, Ann. of Math. 51 (1950), 178-191. | Zbl 0035.38801

[00008] [9] S. T. Hu, Theory of Retracts, Wayne State University Press, Detroit, 1965. | Zbl 0145.43003

[00009] [10] G. Kozlowski, Images of ANR's, manuscrit non publié.

[00010] [11] A. R. Pears, Dimension Theory of General Spaces, Cambridge University Press, Cambridge, 1975.

[00011] [12] E. H. Spanier, Algebraic Topology, McGraw-Hill, New York, 1966.

[00012] [13] A. Strøm, Note on cofibrations II, Math. Scand. 22 (1968), 130-142. | Zbl 0181.26504

[00013] [14] J. E. West, Open problems in infinite dimensional topology, in: Open Problems in Topology, J. van Mill and G. M. Reed (eds.), Elsevier, 1990, 524-597.