Zorn's Lemma

We prove the following statement. Let P be a poset all of whose well-ordered subsets have an upper bound. Then P has a maximal element.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2024-09-19
DOI
https://doi.org/10.5281/zenodo.13791363
Primary Topic
Limits and Structures in Graph Theory
Type
article
Field-Weighted Citation Impact
0.00
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article

Zorn's Lemma

Zenodo (CERN European Organization for Nuclear Research)
Limits and Structures in Graph Theory
article

Zorn's Lemma

article en

Abstract

We prove the following statement. Let P be a poset all of whose well-ordered subsets have an upper bound. Then P has a maximal element.

Zenodo (CERN European Organization for Nuclear Research)
Université de Lorraine (FR)
Openalex Percentile: Top 50%
Limits and Structures in Graph Theory
DOIOpen Access PDFOpenAlex
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Zorn's Lemma · Zenodo (CERN European Organization for Nuclear Research) (2024) | TGRS Research Map | TGRS