On analytical dimension of rings of bounded uniformly continuous functions

Jan Hejcman

Commentationes Mathematicae Universitatis Carolinae (1987)

  • Volume: 028, Issue: 2, page 325-335
  • ISSN: 0010-2628

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Hejcman, Jan. "On analytical dimension of rings of bounded uniformly continuous functions." Commentationes Mathematicae Universitatis Carolinae 028.2 (1987): 325-335. <http://eudml.org/doc/17547>.

@article{Hejcman1987,
author = {Hejcman, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {pseudometrizable spaces; analytic dimensions; ring of bounded real-valued maps; uniform dimensions},
language = {eng},
number = {2},
pages = {325-335},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On analytical dimension of rings of bounded uniformly continuous functions},
url = {http://eudml.org/doc/17547},
volume = {028},
year = {1987},
}

TY - JOUR
AU - Hejcman, Jan
TI - On analytical dimension of rings of bounded uniformly continuous functions
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1987
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 028
IS - 2
SP - 325
EP - 335
LA - eng
KW - pseudometrizable spaces; analytic dimensions; ring of bounded real-valued maps; uniform dimensions
UR - http://eudml.org/doc/17547
ER -

References

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  1. S. A. BOGATYJ, Kharakteristiki topologicheskoj i ravnomernoj razmernosti v terminakh kolec nepreryvnykh funkcij, Sibirskij Mat. Zhurnal 14 (1973), 289-299. (1973) 
  2. Z. FROLÍK, Basic refinements of the category of uniform spaces, TOPO 72 - Gen.Top. and its Appl. (Proc. 2nd Pittsburgh Intern. Conf.), pp. 140-158, Lecture Notes in Math., Vol. 378, Springer, Berlin, 1974. (1974) MR0358705
  3. J. HEJCMAN, Uniform dimension of mappings, Comment. Math. Univ. Carolinae 6 (1965), 381-385. (1965) Zbl0136.19901MR0190903
  4. J. HEJCMAN, Uniform dimension and rings of bounded uniformly continuous functions, Topics in topology (Proc. Coll. Keszthely, 1972), pp. 379-386, Colloq. Math. Soc. János Bolyai, Vol. 8, North-Holland, Amsterdam, 1974. (1972) MR0356002
  5. J. R. ISBELL, Uniform spaces, Amer. Math. Soc., Providence, 1964. (1964) Zbl0124.15601MR0170323
  6. M. KATĚTOV, O kol'cakh nepreryvnykh funkcij i razmernosti bikompaktov, Časopis pěst. mat. fys. 75 (1950), 1-16. (1950) MR0036501
  7. M. KATĚTOV, A theorem on the Lebesgue dimension, Časopis pěst. mat. fys. 75 (1950), 79-87. (1950) MR0036502
  8. J. L. KELLEY, General Topology, Van Nostrand, New York,1955. (1955) Zbl0066.16604MR0070144
  9. W. KULPA, Factorization and inverse expansion theorems for uniformities, Coll. Math. 21 (1970), 217-227. (1970) Zbl0197.48803MR0264597
  10. W. KULPA, A theorem on expansion into inverse systems of metric spaces, Coll. Math. 44 (1981), 217-225. (1981) MR0652581
  11. R. H. WARREN, Identification spaces and unique uniformity, Pacif. J. Math. 95 (1981), 483-492. (1981) Zbl0489.54024MR0632201

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