Hausdorff's theorem for posets that satisfy the finite antichain property

Fundamenta Mathematicae

Volumn 159, Issue 1, 1999, Pages 51-69

  Abraham, Uri ^a   Bonnet, Robert ^b  

^a BEN GURION UNIVERSITY OF THE NEGEV   (Israel)

^b UNIVERSITÉ DE SAVOIE   (France)

Author keywords

Hausdorff's theorem; Ordinals; Partial orderings; Scattered partial orderings

Indexed keywords

EID: 0040120652     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: 10.4064/fm-159-1-51-69     Document Type: Article

References (8)

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3. P. W. Carruth, Arithmetic of ordinals with applications to the theory of ordered abelian groups, Bull. Amer. Math. Soc. 48 (1942), 262-271.
4. R. Fraïssé, Theory of Relations, Stud. Logic Found. Math. 118, North-Holland, 1986.
5. F. Hausdorff, Grundzüge einer Theorie der geordneten Mengen, Math. Ann. 65 (1908), 435-505.
6. G. Hessenberg, Grundbegriffe der Mengenlehre, Abh. Friesschen Schule neue Folge 4 (1906).
7. A. Lévy, Basic Set Theory, Springer, 1979.
8. W. Sierpiński, Cardinal and Ordinal Numbers, Monograf. Mat. 34, PWN, Warszawa, 1958.