Abstract

We introduce and study Alexander r-tuples of simplicial
complexes, as a common generalization of pairs of Alexander dual complexes.
Our main result says that the deleted join of Alexander r-tuple is a pure complex homotopy equivalent to a wedge of
spheres.
Translated title of the contributionАлександеровские r-наборы и Бировы комплексы
Original languageEnglish
Article numberhttps://doi.org/10.2298/PIM1818001J
Pages (from-to)1-22
Number of pages22
JournalPublications de l'Institut Mathematique
Volume104
Issue number118
DOIs
Publication statusPublished - 2018

Scopus subject areas

  • Mathematics(all)

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