Un espace métrique linéaire qui n'est pas un rétracte absolu
Cauty, Robert
Fundamenta Mathematicae, Tome 144 (1994), p. 85-99 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

We construct the example of the title.

Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:212053 
@article{bwmeta1.element.bwnjournal-article-fmv146i1p85bwm,
     author = {Robert Cauty},
     title = {Un espace m\'etrique lin\'eaire qui n'est pas un r\'etracte absolu},
     journal = {Fundamenta Mathematicae},
     volume = {144},
     year = {1994},
     pages = {85-99},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv146i1p85bwm}
}

Cauty, Robert. Un espace métrique linéaire qui n'est pas un rétracte absolu. Fundamenta Mathematicae, Tome 144 (1994) pp. 85-99. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv146i1p85bwm/

[00000] [1] V. N. Basmanov, Foncteurs covariants, rétractes et dimension, Dokl. Akad. Nauk SSSR 271 (1983), 1033-1036 (en russe).

[00001] [2] J. van der Bijl and J. van Mill, Linear spaces, absolute retracts, and the compact extension property, Proc. Amer. Math. Soc. 104 (1988), 942-952. | Zbl 0689.55001

[00002] [3] R. Cauty, Une caractérisation des rétractes absolus de voisinage, Fund. Math. 144 (1994), 11-22.

[00003] [4] T. Dobrowolski, On extending mappings into nonlocally convex linear metric spaces, Proc. Amer. Math. Soc. 93 (1985), 555-560. | Zbl 0561.54011

[00004] [5] A. N. Dranishnikov, Sur un problème de P. S. Aleksandrov, Mat. Sb. 135 (177) (1988), 551-557 (en russe).

[00005] [6] R. Engelking, General Topology, PWN, Warszawa, 1977.

[00006] [7] R. Engelking, Dimension Theory, PWN, Warszawa, 1978.

[00007] [8] W. E. Haver, Locally contractible spaces that are absolute neighborhood retracts, Proc. Amer. Math. Soc. 40 (1973), 280-284. | Zbl 0263.54008

[00008] [9] W. E. Haver, A near-selection theorem, General Topology Appl. 9 (1978), 117-124. | Zbl 0396.54008

[00009] [10] J. L. Kelley and I. Namioka, Linear Topological Spaces, van Nostrand, New York, 1963. | Zbl 0318.46001

[00010] [11] V. Klee, Leray-Schauder theory without local convexity, Math. Ann. 141 (1960), 286-296. | Zbl 0096.08001

[00011] [12] G. Kozlowski, Factorization of certain maps up to homotopy, Proc. Amer. Math. Soc. 21 (1969), 88-92. | Zbl 0184.26702

[00012] [13] J. J. Walsh, Isotoping mappings to open mappings, Trans. Amer. Math. Soc. 250 (1979), 121-145. | Zbl 0414.54007