JOURNAL ARTICLE

Correction to: Shelling-Type Orderings of Regular CW-Complexes and Acyclic Matchings of the Salvetti Complex.

  • Published In: IMRN: International Mathematics Research Notices, 2024, v. 2024, n. 15. P. 11484 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Delucchi, Emanuele; Mücksch, Paul 3 of 3

Abstract

The article discusses a correction to a previous construction of the Salvetti complex of a real hyperplane arrangement. It is noted that the chosen linear extension in the previous construction cannot be arbitrary, and the results remain valid with the use of an appropriate total ordering of the chambers. The article also presents counterexamples to a claim made in the previous construction and discusses open questions regarding nonrealizable oriented matroids and Euclidean orderings. The implications of the correction on further results are also discussed. [Extracted from the article]

Additional Information

  • Source:IMRN: International Mathematics Research Notices. 2024/08, Vol. 2024, Issue 15, p11484
  • Document Type:Correction Notice
  • Subject Area:Mathematics
  • Publication Date:2024
  • ISSN:1073-7928
  • DOI:10.1093/imrn/rnae127
  • Accession Number:178887555
  • Copyright Statement:Copyright of IMRN: International Mathematics Research Notices is the property of Oxford University Press / USA and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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