Semilattices which are embeddable in a product of 
intervals
Author:
J. W. Stepp
Journal:
Proc. Amer. Math. Soc. 28 (1971), 81-86
MSC:
Primary 06.30
DOI:
https://doi.org/10.1090/S0002-9939-1971-0276147-1
MathSciNet review:
0276147
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Abstract | References | Similar Articles | Additional Information
Abstract: In this paper we give necessary and sufficient conditions for a locally compact semilattice to be embeddable in a product of min intervals.
- [1] John L. Kelley, General topology, D. Van Nostrand Company, Inc., Toronto-New York-London, 1955. MR 0070144
- [2] J. D. Lawson, Topological semilattices with small semilattices, J. London Math. Soc. (2) 1 (1969), 719–724. MR 253301, https://doi.org/10.1112/jlms/s2-1.1.719
- [3] Leopoldo Nachbin, Topology and order, Translated from the Portuguese by Lulu Bechtolsheim. Van Nostrand Mathematical Studies, No. 4, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto, Ont.-London, 1965. MR 0219042
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1971-0276147-1
Keywords:
Locally compact semilattices,
semilattices with small semi-lattices,
min interval,
locally convex semilattice
Article copyright:
© Copyright 1971
American Mathematical Society
