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For the Gibbs measure which is obtained as the limit of finite size Gibbs measures with free boundary con- dition, a central limit theorem is also proved, but the limit is not
More precisely, the category of bicategories and weak functors is equivalent to the category whose objects are weak 2-categories and whose morphisms are those maps of opetopic
A celebrated theorem of Birkhoff’s says that a subcategory of the category of algebras for a signature is given by a set of equations (which is to say, an equivalence relation on
When the category that we complete is not left exact but has some weaker kind of limit for finite diagrams, the universal property of the completion is usually stated with respect
Let us recall that in [7, 8] the authors showed that the category TC of totally convex modules and totally affine maps is the category of Eilenberg-Moore algebras for the monad
Its results are descent theorems that are of the form: “The category of B -structures is canonically equivalent to the category of descent data of E -structures”, usually supplied
Every atomic Dedekind category R with relational sums and subobjects is equivalent to a category of matrices over a suitable basis.. This basis is the full proper subcategory induced
The balance of the paper is devoted to preserving of the projectivity and injectivity by such a tensor product of functors from any small category C to R -modules, called R C
