Real-valued functions on Alexandroff (zero-set) spaces

Anthony W. Hager

Commentationes Mathematicae Universitatis Carolinae (1975)

  • Volume: 016, Issue: 4, page 755-769
  • ISSN: 0010-2628

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Hager, Anthony W.. "Real-valued functions on Alexandroff (zero-set) spaces." Commentationes Mathematicae Universitatis Carolinae 016.4 (1975): 755-769. <http://eudml.org/doc/16725>.

@article{Hager1975,
author = {Hager, Anthony W.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
language = {eng},
number = {4},
pages = {755-769},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Real-valued functions on Alexandroff (zero-set) spaces},
url = {http://eudml.org/doc/16725},
volume = {016},
year = {1975},
}

TY - JOUR
AU - Hager, Anthony W.
TI - Real-valued functions on Alexandroff (zero-set) spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1975
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 016
IS - 4
SP - 755
EP - 769
LA - eng
UR - http://eudml.org/doc/16725
ER -

References

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  1. A. D. ALEXANDROFF, Additive set functions in abstract spaces, Mat. Sbornik 50 (1940), 30-348; 51 (1941), 563-628; 55 (1943), 169-238. (1940) Zbl0023.39701MR0012207
  2. R. L. BLAIR A. W. HAGER, Extensions of zero-sets and of real-valued functions, Math. Zeit. 136 (1974), 41-52. (1974) MR0385793
  3. R. ENGELKING, Outline of General Topology, Amsterdam, 1968. (1968) Zbl0157.53001MR0230273
  4. Z. FROLÍK, Three uniform spaces associated with realvalued functions, Proc. Rome conference on rings of continuous functions 1973, to appear. (1973) MR0375243
  5. Z. FROLÍK, On uniform spaces, Comment. Math. Univ. Carolinae 16 (1975), 189-199. (1975) MR0370516
  6. L. GILLMAN M. JERISON, Rings of Continuous Functions, D. van Nostrand Co., 1960. (1960) MR0116199
  7. H. GORDON, Rings of functions determined by zero-sets, Pac. J. Math. 36 (1971), 1331-157. (1971) Zbl0185.38803MR0320996
  8. A. W. HAGER, On inverse-closed subalgebras of C ( X ) , Proc. London Math. Soc. (3) 19 (1969), 233-257. (1969) Zbl0169.54005MR0244948
  9. A. W. HAGER, An approximation technique for real-valued functions, Gen. Top. and Appl. 1 (1971), 415-418. (1971) Zbl0219.54010MR0291704
  10. A. W. HAGER, An approximation technique for real-valued functions, 2, preprint 1972. (1972) MR0291704
  11. A. W. HAGER, Some nearly fine uniform spaces, Proc. London Math. Soc. (3) 28 (1974), 517-546. (1974) Zbl0284.54017MR0397670
  12. A. W. HAGER, Uniformities induced by proximity, cozero- and Baire sets, to appear. 
  13. P. HAUSDORFF, Set Theory, (Chelsea Reprint) New York, 1957. (1957) Zbl0081.04601
  14. R. D. MAULDIN, On the Baire system generated by a linear lattice of functions, Fund. Math. 68 (1970), 51-59. (1970) Zbl0197.38104MR0273363
  15. S. G. MRÓWKA, Characterization of classes of functions by Lebesque sets, Czech. Math. J. 19 (1969), 738-744. (1969) MR0248291

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