On démontre l’équivalence de treize propriétés d’espaces uniformes. Les propriétés les plus importantes semblent être celles concernant des modules d’applications uniformément continues dans les espaces normés, et des partitions de l’unité.
Thirteen properties of uniform spaces are shown to be equivalent. The most important properties seem to be those related to modules of uniformly continuous mappings into normed spaces, and to partitions of unity.
@article{AIF_1974__24_3_43_0, author = {Frol\`\i k, Zden\v ek}, title = {Uniform maps into normed spaces}, journal = {Annales de l'Institut Fourier}, volume = {24}, year = {1974}, pages = {43-55}, doi = {10.5802/aif.518}, mrnumber = {50 \#14677}, zbl = {0287.54025}, language = {en}, url = {http://dml.mathdoc.fr/item/AIF_1974__24_3_43_0} }
Frolìk, Zdeněk. Uniform maps into normed spaces. Annales de l'Institut Fourier, Tome 24 (1974) pp. 43-55. doi : 10.5802/aif.518. http://gdmltest.u-ga.fr/item/AIF_1974__24_3_43_0/
Additive set functions in abstract spaces. Mat. Sb., 50 (1940), 30-348, Mat. Sb., 51 (1940), 563-628, Mat. Sb., 55 (1943), 199-238. | Zbl 0060.13502
, [1] - [3]Uniform methods in measurable spaces, Proc. Second International symposium in Topology. Budva, August, 1972.
, [1]A note on metric-fine uniform spaces, Proc. Amer. Math. Soc., To appear. | Zbl 0301.54033
, [2]Measurable uniform spaces, Pacif. J. Math. | Zbl 0305.54030
, [3]Measurable uniform spaces, Fund. Math., (1972), 51-73. | MR 48 #3011 | Zbl 0248.54031
,PhD Thesis. Wesleyan university 1973.
, [1]Covering and function - theoretic properties of uniform spaces, Bull. Amer. Math. Soc., to appear. | Zbl 0294.54026
, [2]Thesis. Charles University, Prague 1972.
, [1]