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  • Abdallah, Nancy, et al. (author)
  • Topology of posets with special partial matchings
  • 2019
  • In: Advances in Mathematics. - : Academic Press. - 0001-8708 .- 1090-2082. ; 348, s. 255-276
  • Journal article (peer-reviewed)abstract
    • Special partial matchings (SPMs) are a generalisation of Brentis special matchings. Let a pircon be a poset in which every non-trivial principal order ideal is finite and admits an SPM. Thus pircons generalise Mariettis zircons. We prove that every open interval in a pircon is a PL ball or a PL sphere. It is then demonstrated that Bruhat orders on certain twisted identities and quasiparabolic W-sets constitute pircons. Together, these results extend a result of Can, Cherniaysky, and Twelbeck, prove a conjecture of Hultman, and confirm a claim of Rains and Vazirani.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Abdallah, Nancy (1)
Hansson, Mikael, 198 ... (1)
Hultman, Axel, 1975- (1)
University
Linköping University (1)
University of Borås (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year

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