Bilinearity and Cartesian Closed Monads.
Bimorphisms in pro-homotopy and proper homotopy
A morphism of a category which is simultaneously an epimorphism and a monomorphism is called a bimorphism. The category is balanced if every bimorphism is an isomorphism. In the paper properties of bimorphisms of several categories are discussed (pro-homotopy, shape, proper homotopy) and the question of those categories being balanced is raised. Our most interesting result is that a bimorphism f:X → Y of is an isomorphism if Y is movable. Recall that is the full subcategory of consisting of...
Biographie de René Lavendhomme
Birational moduli and nonabelian cohomology, II
Birkhoff's Covariety Theorem without limitations
J. Rutten proved, for accessible endofunctors of Set, the dual Birkhoff’s Variety Theorem: a collection of -coalgebras is presentable by coequations ( subobjects of cofree coalgebras) iff it is closed under quotients, subcoalgebras, and coproducts. This result is now proved to hold for all endofunctors of Set provided that coequations are generalized to mean subchains of the cofree-coalgebra chain. For the concept of coequation introduced by H. Porst and the author, which is a subobject of...
Birkhoff's variety theorem with and without free algebras.
Bivariant cohomology and -spaces
Bivariant -theory for locally convex algebras and the Chern-Connes character. (Bivariante -Theorie für lokalconvexe Algebren und der Chern-Connes-Charakter.)
Bivariant long exact sequences (II).
Boardman's Category and the Process of Categorical Stabilization.
Boolean Galois theories.
Boolean localization, in practice.
Boolean spectra and model completions
Booleanization of uniform frames
Booleanization of frames or uniform frames, which is not functorial under the basic choice of morphisms, becomes functorial in the categories with weakly open homomorphisms or weakly open uniform homomorphisms. Then, the construction becomes a reflection. In the uniform case, moreover, it also has a left adjoint. In connection with this, certain dual equivalences concerning uniform spaces and uniform frames arise.
Bounded functors, finite limits and an application of injective topoi
Bounds for the homological dimensions of pullbacks.
Braided Groups
Braided tensor product and Lie algebra in a braided category. (Produit tensoriel tressé et algèbre de Lie dans une catégorie tressée.)
Building closed categories
Building semigroups from groups (and reduced semigroups).