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.
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.
@article{AIF_1974__24_3_43_0, author = {Frol{\`\i}k, Zden\v{e}k}, title = {Uniform maps into normed spaces}, journal = {Annales de l'Institut Fourier}, pages = {43--55}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {24}, number = {3}, year = {1974}, doi = {10.5802/aif.518}, zbl = {0287.54025}, mrnumber = {50 #14677}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.518/} }
TY - JOUR AU - Frolìk, Zdeněk TI - Uniform maps into normed spaces JO - Annales de l'Institut Fourier PY - 1974 SP - 43 EP - 55 VL - 24 IS - 3 PB - Institut Fourier PP - Grenoble UR - https://aif.centre-mersenne.org/articles/10.5802/aif.518/ DO - 10.5802/aif.518 LA - en ID - AIF_1974__24_3_43_0 ER -
Frolìk, Zdeněk. Uniform maps into normed spaces. Annales de l'Institut Fourier, Volume 24 (1974) no. 3, pp. 43-55. doi : 10.5802/aif.518. https://aif.centre-mersenne.org/articles/10.5802/aif.518/
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