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Cocycle condition for multi-pullbacks of algebras

Tom 98 / 2012

Piotr M. Hajac, Bartosz Zieliński Banach Center Publications 98 (2012), 239-243 MSC: Primary 81R60; Secondary 06D99. DOI: 10.4064/bc98-0-9

Streszczenie

Take finitely many topological spaces and for each pair of these spaces choose a pair of corresponding closed subspaces that are identified by a homeomorphism. We note that this gluing procedure does not guarantee that the building pieces, or the gluings of some pieces, are embedded in the space obtained by putting together all given ingredients. Dually, we show that a certain sufficient condition, called the cocycle condition, is also necessary to guarantee sheaf-like properties of surjective multi-pullbacks of algebras with distributive lattices of ideals.

Autorzy

  • Piotr M. HajacInstytut Matematyczny
    Polska Akademia Nauk
    Śniadeckich 8
    00-956 Warszawa, Poland
    and
    Katedra Metod Matematycznych Fizyki
    Uniwersytet Warszawski
    Hoża 74, 00-682 Warszawa, Poland
    e-mail
  • Bartosz ZielińskiDepartment of Theoretical Physics and Computer Science
    University of Łódź
    Pomorska 149/153
    90-236 Łódź, Poland
    e-mail

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