Uniform maps into normed spaces
Annales de l'Institut Fourier, Volume 24 (1974) no. 3, p. 43-55

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 ek},
     title = {Uniform maps into normed spaces},
     journal = {Annales de l'Institut Fourier},
     publisher = {Imprimerie Louis-Jean},
     address = {Gap},
     volume = {24},
     number = {3},
     year = {1974},
     pages = {43-55},
     doi = {10.5802/aif.518},
     zbl = {0287.54025},
     mrnumber = {50 \#14677},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1974__24_3_43_0}
}
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. http://www.numdam.org/item/AIF_1974__24_3_43_0/

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