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Matematicheskie Zametki, 2003, Volume 74, Issue 4, Pages 573–589
DOI: https://doi.org/10.4213/mzm294 (Mi mzm294) 		 
On Isomorphisms of Relations Embedded into Each Other

D. I. Saveliev
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DOI: https://doi.org/10.4213/mzm294
Abstract: In this paper, we consider analogs of the Cantor–Bernstein theorem for sets with binary relations. In Sec. 1, we prove an analog of this theorem for arbitrary binary relations; in Sec. 2, we consider an application; in Sec. 3, we study a class of relations with the “Cantor– Bernstein property” and a class of exact relations, and prove that these classes are closed under certain operations.
Received: 07.03.2000
Revised: 26.08.2003
English version:
Mathematical Notes, 2003, Volume 74, Issue 4, Pages 543–556
DOI: https://doi.org/10.1023/A:1026152012534
Bibliographic databases:
UDC: 519.1
Language: Russian
Citation: D. I. Saveliev, “On Isomorphisms of Relations Embedded into Each Other”, Mat. Zametki, 74:4 (2003), 573–589; Math. Notes, 74:4 (2003), 543–556
Citation in format AMSBIB
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