A Theorem on Directed Quasi-Ordered Sets and Some Remarks
Shang Zhi Wang, Bo Yu Li (1985)
Publications du Département de mathématiques (Lyon)
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Displaying similar documents to “Connected chains in quasi-ordered spaces”
A Theorem on Directed Quasi-Ordered Sets and Some Remarks
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Liu, D.M., Kent, D.C. (1997)
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On generalized ordered spaces
D. J. Lutzer
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1. Introduction................................................................................................................52. Characterization of generalized ordered spaces ..............................................73. Technical lemmas ..................................................................................................94. Paracompactness in GO spaces..........................................................................115. Metrizability and related properties...
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G. R. Gordh, Jr. (1972)
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Characterizations of totally ordered sets by their various endomorphisms
Daniel Hort, Jan Chvalina, Jiří Moučka (2002)
Czechoslovak Mathematical Journal
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We characterize totally ordered sets within the class of all ordered sets containing at least three-element chains using a simple relationship between their isotone transformations and the so called 2-, 3-, 4-endomorphisms which are introduced in the paper. Another characterization of totally ordered sets within the class of ordered sets of a locally finite height with at least four-element chains in terms of the regular semigroup theory is also given.