Between topology for lattices

Yataro MATSUSHIMA

doi:10.2969/jmsj/01640335

Yataro MATSUSHIMA

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JOURNAL FREE ACCESS

1964 Volume 16 Issue 4 Pages 335-341

DOI https://doi.org/10.2969/jmsj/01640335

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Published: 1964 Received: October 30, 1963 Available on J-STAGE: September 26, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: September 26, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) E. S. Wolk, Order-compatible topology on a partially ordered set, Proc. Amer. Math. Soc., 9 (1958), 524-529.
2) E. S. Northam, The interval topology of a lattice, Proc. Amer. Math. Soc., 4 (1953), 824-827.
3) M. Kolibiar, Bemerkungen über Intervaltopogie in halbgeordneten Mengen, Proc. of the Symposium held in Prage, Sept., 1961.
4) Y. Matsushima, Hausdorff interval topology on a partially ordered set, Proc. Amer. Math. Soc., 11 (1960), 233-235.
5) Pitcher and Smiley, Transitivities of betweeness, Trans. Amer. Math. Soc., 52 (1942), 95-114.
6) Y. Matsushima, On the B-covers in lattices, Proc. Japan Acad., 32 (1956), 549-553.
7) Y. Matsushima, Between-topology on a distributive lattice, Proc. Japan Acad., 35 (1959), 221-225.
8) G. Birkhoff, Lattice Theory, rev. ed., New York, 1948.

Right : [1] E. S. Wolk, Order-compatible topology on a partially ordered set, Proc. Amer. Math. Soc., 9 (1958), 524-529.
[2] E. S. Northam, The interval topology of a lattice, Proc. Amer. Math. Soc., 4 (1953), 824-827.
[3] M. Kolibiar, Bemerkungen über Intervaltopogie in halbgeordneten Mengen, Proc. of the Symposium held in Prage, Sept., 1961.
[4] Y. Matsushima, Hausdorff interval topology on a partially ordered set, Proc. Amer. Math. Soc., 11 (1960), 233-235.
[5] Pitcher and Smiley, Transitivities of betweeness, Trans. Amer. Math. Soc., 52 (1942), 95-114.
[6] Y. Matsushima, On the B-covers in lattices, Proc. Japan Acad., 32 (1956), 549-553.
[7] Y. Matsushima, Between-topology on a distributive lattice, Proc. Japan Acad., 35 (1959), 221-225.
[8] G. Birkhoff, Lattice Theory, rev. ed., New York, 1948.

Date of correction: September 26, 2006 Reason for correction: - Correction: PDF FILE Details: -

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