On dilworth's theorem in the in finite case

Micha A. Peles

doi:10.1007/BF02759806

On dilworth's theorem in the in finite case

Micha A. Peles^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

33 Scopus citations

Abstract

The following theorem is proved: Let c be an infinite cardinal. There exists a partially ordered set of cardinal c, which contains no infinite independent subset, and which is not decomposable into less than c chains.

Original language	English
Pages (from-to)	108-109
Number of pages	2
Journal	Israel Journal of Mathematics
Volume	1
Issue number	2
DOIs	https://doi.org/10.1007/BF02759806
State	Published - Jun 1963

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title = "On dilworth's theorem in the in finite case",

abstract = "The following theorem is proved: Let c be an infinite cardinal. There exists a partially ordered set of cardinal c, which contains no infinite independent subset, and which is not decomposable into less than c chains.",

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On dilworth's theorem in the in finite case

Abstract

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