Cocycle condition for multi-pullbacks of algebras

• Autorzy: Piotr M. Hajac , Bartosz Zieliński
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 81R60: Noncommutative geometry
• 06D99: None of the above, but in this section

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 98
• Numer: 1
• Strony: 239-243

Daty

wydano

2012

Twórcy

autor

Piotr M. Hajac

• Instytut Matematyczny, Polska Akademia Nauk, Śniadeckich 8, 00-956 Warszawa, Poland
• Katedra Metod Matematycznych Fizyki, Uniwersytet Warszawski, Hoża 74, 00-682 Warszawa, Poland

autor

Bartosz Zieliński

• Department of Theoretical Physics and Computer Science, University of Łódź, Pomorska 149/153, 90-236 Łódź, Poland

Identyfikatory

DOI

10.4064/bc98-0-9