Results 71 to 80 of about 69,891 (229)
On descent for coalgebras and type transformations [PDF]
Categories and General Algebraic Structures with Applications, 2016 We find a criterion for a morphism of coalgebras over a Barr-exact category to be effective descent and determine (effective) descent morphisms for coalgebras over toposes in some cases.
Maurice Kianpi
doaj
General Topology and its Applications, 1974 AbstractIt has been observed by several authors that the striking similarities between such categories as the categories Top of topological spaces, Unit of uniform spaces, Prox of proximity spaces, Lim of limit spaces and others, are essentially due to some common properties of the corresponding forgetful functors into the category Set of sets ...
openaire +2 more sources
A Mackey-functor theoretic interpretation of biset functors
Advances in Mathematics, 2016 In this article, we consider a formulation of biset functors using the 2-category of finite sets with variable finite group actions. We introduce a 2-category $\mathbb{S}$, on which a biset functor can be regarded as a special kind of Mackey functors. This gives an analog of Dress' definition of a Mackey functor, in the context of biset functors.
Hiroyuki Nakaoka, Hiroyuki Nakaoka
openaire +3 more sources
Characterizing Van Kampen Squares via Descent Data [PDF]
Electronic Proceedings in Theoretical Computer Science, 2012 Categories in which cocones satisfy certain exactness conditions w.r.t. pullbacks are subject to current research activities in theoretical computer science.
Harald König, Uwe Wolter, Michael Löwe
doaj +1 more source
, 2014 An (additive) functor F from an additive category A to an additive category B is said to be objective, provided any morphism f in A with F(f) = 0 factors through an object K with F(K) = 0.
Ringel, Claus Michael, Zhang, Pu
core +1 more source
, 2013 We study the functor l^2 from the category of partial injections to the category of Hilbert spaces. The former category is finitely accessible, and its homsets are algebraic domains; the latter category has conditionally algebraic domains for homsets.
openaire +4 more sources
On an Isomorphism of Compactifications of Moduli Scheme of Vector Bundles
Моделирование и анализ информационных систем, 2015 A morphism of the reduced Gieseker - Maruyama moduli functor (of semistable coherent torsion-free sheaves) on the surface to the reduced moduli functor of admissible semistable pairs with the same Hilbert polynomial, is constructed. It is shown that main
N. V. Timofeeva
doaj +1 more source
Intrinsic Characterizations of Some Additive Functors [PDF]
, 1960 Charles E. Watts
openalex +2 more sources
Dg analogues of the Zuckerman functors and the dual Zuckerman functors I
, 2016 We study the category of dg Harish-Chandra modules (over an arbitrary commutative ring) and construct dg analogues of the induction functor, the production functor, the Zuckerman functor and the dual Zuckerman functor.Comment: 38 ...
Hayashi, Takuma
core
, 2008 Plato's ideas and Aristotle's real types from the classical age, Nominalism and Realism of the mediaeval period and Whitehead's modern view of the world as pro- cess all come together in the formal representation by category theory of exactness in ...
Heather, Michael, Rossiter, Nick
core