Cocycle condition for multi-pullbacks of algebras

Piotr M. Hajac, and Bartosz Zieliński. "Cocycle condition for multi-pullbacks of algebras." Banach Center Publications 98.1 (2012): 239-243. <http://eudml.org/doc/282376>.

@article{PiotrM2012,
abstract = {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.},
author = {Piotr M. Hajac, Bartosz Zieliński},
journal = {Banach Center Publications},
keywords = {distributive lattices of ideals; -algebras; closed coverings},
language = {eng},
number = {1},
pages = {239-243},
title = {Cocycle condition for multi-pullbacks of algebras},
url = {http://eudml.org/doc/282376},
volume = {98},
year = {2012},
}

TY - JOUR
AU - Piotr M. Hajac
AU - Bartosz Zieliński
TI - Cocycle condition for multi-pullbacks of algebras
JO - Banach Center Publications
PY - 2012
VL - 98
IS - 1
SP - 239
EP - 243
AB - 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.
LA - eng
KW - distributive lattices of ideals; -algebras; closed coverings
UR - http://eudml.org/doc/282376
ER -