References

1
A. D. Berard, Jr., Characterizations of metric spaces by use of their midsets: intervals, Fund. Math. 73 (1971), 1-7.

2
R. Engelking, General Topology, Revised and completed edition Heldermann Verlag, Berlin 1989.

3
Y. Hattori and J. Nagata, Special metrics, Recent progress in general topology (M. Hušek and J. van Mill eds), North Holland, Amsterdam, 1992, 353-367.

4
L. Janos, Congruence and one-dimensionality of metric spaces, Proc. Amer. Math. Soc., 103 (1988), 1268-1270.

5
L. D. Loveland, No continuum in has the TMP. I. Arcs and spheres, Proc. Amer. Math. Soc., 110 (1990), 1119-1128.

6
D. J. Lutzer, On generalized ordered spaces, Dissertationes Math. 89 (1971).

7
S. B. Nadler, Jr., An embedding theorem for certain spaces with an equidistant property, Proc. Amer. Math. Soc., 59 (1976), 179-183.

8
S. Purisch, The orderability and suborderability of metrizable spaces, Trans. Amer. Math. Soc., 226 (1977), 59-76.

Shimane University
Matsue, 690 Japan

e:mail address: F01178@sinet.ad.jp

Shizuoka University,
Ohya, Shizuoka, 422 Japan

e:mail address: h-ohta@ed.shizuoka.ac.jp