Real-valued functions on certain semi-metric spaces

Harold R. Bennett

Compositio Mathematica (1975)

  • Volume: 30, Issue: 2, page 137-144
  • ISSN: 0010-437X

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Bennett, Harold R.. "Real-valued functions on certain semi-metric spaces." Compositio Mathematica 30.2 (1975): 137-144. <http://eudml.org/doc/89250>.

@article{Bennett1975,
author = {Bennett, Harold R.},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {137-144},
publisher = {Noordhoff International Publishing},
title = {Real-valued functions on certain semi-metric spaces},
url = {http://eudml.org/doc/89250},
volume = {30},
year = {1975},
}

TY - JOUR
AU - Bennett, Harold R.
TI - Real-valued functions on certain semi-metric spaces
JO - Compositio Mathematica
PY - 1975
PB - Noordhoff International Publishing
VL - 30
IS - 2
SP - 137
EP - 144
LA - eng
UR - http://eudml.org/doc/89250
ER -

References

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  1. [1] H. Blumberg: New Properties of All Real Functions. Trans. Amer. Math. Soc.24 (1922) 113-128. Zbl49.0176.04MR1501216JFM49.0176.04
  2. [2] J.C. Bradford and C. Goffman: Metric Spaces in which Blumberg's Theorem Holds. Proc. Amer. Math. Soc.11 (1960) 667-670. Zbl0178.56603MR146310
  3. [3] R.W. Heath: On Certain First Countable Spaces. Topology Seminar, Wisconsin, 1965, 103-115. Zbl0147.41603
  4. [4] J.L. Kelly: General Topology. Van Nostrand, New York, 1955. Zbl0066.16604MR70144
  5. [5] K. Kuratowski: Topology. Academic Press, New York, 1966. Zbl0158.40802MR217751
  6. [6] R. Levy: A totally ordered Baire space for which Blumberg's theorem fails. Proc. Amer. Math. Soc.41 (1973) 304. Zbl0244.54009MR324630
  7. [7] R. Levy: Strongly non-Blumberg Spaces. Gen. Top. and its Appl.4 (1974) 173-178. Zbl0283.54006MR343232

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