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Abstract. We show that the parity conjecture for Selmer groups is invariant under deformation in p-adic families of self-dual pure Galois representations satisfying
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
(Our previous work has only dealt with the theory of opetopes.) We then use results of [12] to prove that the category of opetopic sets is indeed equivalent to the category
We saw in the prologue that the comonad Path on Cat has as its coalgebras free categories on graphs (the category of coalgebras is equivalent to the category of graphs), and that
It is worth mentioning that, when proving fact 2) above, we notice that the category of predicates of the initial Skolem category is also equivalent to the construction of the
The pointwise mean square deviation (and, more general, the pointwise p -th moment) in Banach lattices of functions was considered in [9], where conditions of relative stability,
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
Using one of these structures, one obtains that the localized category is equivalent to the category of n -reduced CW - complexes with dimension less than or equal to m + 1 and
