An abelian group object F of BG is a sheaf on Top, together with actions yG(U) x F(U) [right arrow] F(U), functorial
in U; we write [H.sup.i](G, F) (objects of Tab) for the continuous/topological group cohomology of G with coefficients in F.
Clearly, [??] is a functor from the category [??]-Filt of coherently filtered formal sheaves of modules to the category [??]-Filt of filtered formal sheaves of modules satisfying the functorial
properties, moreover for any struct coherently filtered formal sheaf morphism [??] over [??] and for Y([[Florin].sub.1] [subset] Y([[Florin].sub.2] in [beta](Y), we get commutative diagrames of strict filtered morphisms.
El nuevo concepto de representacion, que bautizaremos como representacion homologica o functorial
por motivos que se haran obvios mas adelante, es una generalizacion del concepto de representacion concebido como aplicacion (parcialmente) preservadora de estructura, tal como ha sido elucidado por diversos autores (por ejemplo, Mundy 1986, Swoyer 1989, Krantz et al.
(in functional order) and the functorial
action of &.
Their theory supplements the recent work of Asgari-Shahidi on the functorial
life from (split and quasisplit forms of) GSpin2n to GL2n.
(10) (f, [f.sup.#]) : Spec(B) [right arrow] Spec(A), yielding a functorial
Since then, Chapoton  has given a functorial
interpretation of this operation.
The protocol complex satisfies some useful functorial
properties, which follow immediately from the definitions.
Nourani presents readers with comprehensive guide to new techniques with functorial
models designed to address important areas of both pure mathematics and computability theory from the algebraic point of view.
This construction is functorial
in the sense that a map f: X [right arrow] Y can also be rationalized to a map [f.sub.0]: [X.sub.0] [right arrow] [Y.sub.0] commuting with rationalisations.
For M [member of] [D.sup.b.sub.hol]([D.sub.X] there is a functorial
We generalize this in Section 3, defining the functorial
construction of a graded coalgebra Do C from graded coalgebras C and V.