منابع مشابه
On Deformations of Pasting Diagrams
We adapt the work of Power [14] to describe general, not-necessarily composable, not-necessarily commutative 2-categorical pasting diagrams and their composable and commutative parts. We provide a deformation theory for pasting diagrams valued in the 2-category of k-linear categories, paralleling that provided for diagrams of algebras by Gerstenhaber and Schack [9], proving the standard results...
متن کاملOn the Conservative Pasting Lemma
Several Cr (r ∈ Z) perturbation tools are established in the volume preserving setting allowing for the pasting, extension, localized smoothing and local linearization of vector fields. For diffeomorphisms, a conservative linearized version of Franks lemma is proved.
متن کاملPasting pseudofunctors
We give an abstract criterion for pasting pseudofunctors on two subcategories of a category into a pseudofunctor on the whole category. As an application we extend the variance theory of the twisted inverse image (−)! over schemes to that over formal schemes. Thus we show that over composites of compactifiable maps of noetherian formal schemes, there is a pseudofunctor (−)! such that if f is a ...
متن کاملOn Deformations of Pasting Diagrams, Ii
We continue the development of the infinitesimal deformation theory of pasting diagrams of k-linear categories begun in [8]. In [8] the standard result that all obstructions are cocycles was established only for the elementary, composition-free parts of pasting diagrams. In the present work we give a proof for pasting diagrams in general. As tools we use the method developed by Shrestha [6] of ...
متن کاملPasting in Multiple Categories
In the literature there are several kinds of concrete and abstract cell complexes representing composition in n-categories, ω-categories or ∞-categories, and the slightly more general partial ω-categories. Some examples are parity complexes, pasting schemes and directed complexes. In this paper we give an axiomatic treatment: that is to say, we study the class of ‘ω-complexes’ which consists of...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1996
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-96-03421-1