Directory UMM :Journals:Journal_of_mathematics:DM:
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One of the axioms for a cartesian bicategory requires that the locally full subbicategory determined by the left adjoint arrows admits all finite products in the sense of bilimits..
Families of abelian varieties with a rank one degeneration We now assume that R is a complete discrete valuation ring with local parame- ter t , field of quotients K and
σ -compact) if it is locally compact (resp. The definition of a locally compact groupoid in [15] corresponds to our definition of a locally compact, σ -compact groupoid with Haar
We also provide a combinatorial proof for this last fact by introducing a bijection between the set of all Dyck paths of length 2 n + 2 with no peaks at height 2 and the set of all
some level in a Farey tree, every time a branching occurs, the path takes the left branch, and likewise for “paths that eventually stay right”... In order to interpret these paths
The following Theorem shows that if T is a Maltsev theory, then all surjec- tive homomorphisms of simplicial T -models are Kan fibrations, which obviously implies Theorem 1.. Our
Assuming these are proven and that U is innite, let E be an equivalence relation on U such that there are innitely many equivalence classes and innitely many elements in each
We will, however, assume that the claims rate λ is known (and, without loss of generality this is equal to 1). This is a rather artificial assumption which simplifies the
