Existence of nontrivial stochastic monoids.
Existence theorems for commutative diagrams.
Explicit cogenerators for the homotopy category of projective modules over a ring
Let be a ring. In two previous articles [12, 14] we studied the homotopy category of projective -modules. We produced a set of generators for this category, proved that the category is -compactly generated for any ring , and showed that it need not always be compactly generated, but is for sufficiently nice . We furthermore analyzed the inclusion and the orthogonal subcategory . And we even showed that the inclusion has a right adjoint; this forces some natural map to be an equivalence...
Explicit models for perserse sheaves.
We consider categories of generalized perverse sheaves, with relaxed constructibility conditions, by means of the process of gluing t-structures and we exhibit explicit abelian categories defined in terms of standard sheaves categories which are equivalent to the former ones. In particular , we are able to realize perverse sheaves categories as non full abelian subcategories of the usual bounded complexes of sheaves categories. Our methods use induction on perversities. In this paper, we restrict...
Explicit resolutions for the binary polyhedral groups and for other central extensions of the triangle gorups.
Exploring the gap between linear and classical logic.
Exponentiability in categories of lax algebras. (Dedicated to Nico Pumplün on the occasion of his seventieth birthday).
Exponentiability in homotopy slices of TOP and pseudo-slices of CAT.
Exponentiability in lax slices of .
Exponentiability of perfect maps: Four approaches.
Exponentiable embeddings in totally reflective subcategories of
Exponentiable morphisms: Posets, spaces, locales, and Grothendieck toposes.
Exponential laws for topological categories, groupoids and groups, and mapping spaces of colimits
Exponential mapping for Lie groupoids. Applications
Exponential Objects
In the first part of this article we formalize the concepts of terminal and initial object, categorical product [4] and natural transformation within a free-object category [1]. In particular, we show that this definition of natural transformation is equivalent to the standard definition [13]. Then we introduce the exponential object using its universal property and we show the isomorphism between the exponential object of categories and the functor category [12].
Exponential objects in the construct
Exponentiality in categories of partial algebras.
Ext and von Neumann regular rings
Ext-algebras and derived equivalences
Using derived categories, we develop an alternative approach to defining Koszulness for positively graded algebras where the degree zero part is not necessarily semisimple.
Extending tensor products to structures of closed categories