Uniform maps into normed spaces

Zdeněk Frolìk

Annales de l'institut Fourier (1974)

  • Volume: 24, Issue: 3, page 43-55
  • ISSN: 0373-0956

Abstract

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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.

How to cite

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Frolìk, Zdeněk. "Uniform maps into normed spaces." Annales de l'institut Fourier 24.3 (1974): 43-55. <http://eudml.org/doc/74191>.

@article{Frolìk1974,
abstract = {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.},
author = {Frolìk, Zdeněk},
journal = {Annales de l'institut Fourier},
language = {eng},
number = {3},
pages = {43-55},
publisher = {Association des Annales de l'Institut Fourier},
title = {Uniform maps into normed spaces},
url = {http://eudml.org/doc/74191},
volume = {24},
year = {1974},
}

TY - JOUR
AU - Frolìk, Zdeněk
TI - Uniform maps into normed spaces
JO - Annales de l'institut Fourier
PY - 1974
PB - Association des Annales de l'Institut Fourier
VL - 24
IS - 3
SP - 43
EP - 55
AB - 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.
LA - eng
UR - http://eudml.org/doc/74191
ER -

References

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  1. A.D. ALEXANDROV, [1] - [3] Additive set functions in abstract spaces. Mat. Sb., 50 (1940), 30-348, Mat. Sb., 51 (1940), 563-628, Mat. Sb., 55 (1943), 199-238. Zbl0060.13502JFM66.0218.01
  2. Z. FROLIK, [1] Uniform methods in measurable spaces, Proc. Second International symposium in Topology. Budva, August, 1972. Zbl0316.28001
  3. Z. FROLIK, [2] A note on metric-fine uniform spaces, Proc. Amer. Math. Soc., To appear. Zbl0301.54033
  4. Z. FROLIK, [3] Measurable uniform spaces, Pacif. J. Math. Zbl0305.54030
  5. A.W. HAGER, Measurable uniform spaces, Fund. Math., (1972), 51-73. Zbl0248.54031MR48 #3011
  6. M.D. RICE, [1] PhD Thesis. Wesleyan university 1973. 
  7. M.D. RICE, [2] Covering and function - theoretic properties of uniform spaces, Bull. Amer. Math. Soc., to appear. Zbl0294.54026
  8. J. VILIMOVSKY, [1] Thesis. Charles University, Prague 1972. 

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