{"title":"On maximal order type of the lexicographic product","authors":"Mirna Džamonja, Isa Vialard","doi":"arxiv-2409.09699","DOIUrl":null,"url":null,"abstract":"We give a self-contained proof of Isa Vialard's formula for $o(P\\cdot Q)$\nwhere $P$ and $Q$ are wpos. The proof introduces the notion of a cut of partial\norder, which might be of independent interest.","PeriodicalId":501306,"journal":{"name":"arXiv - MATH - Logic","volume":"22 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.09699","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We give a self-contained proof of Isa Vialard's formula for $o(P\cdot Q)$
where $P$ and $Q$ are wpos. The proof introduces the notion of a cut of partial
order, which might be of independent interest.
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