# Real-valued functions on certain semi-metric spaces

Compositio Mathematica (1975)

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

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topBennett, 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

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

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