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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
Our purpose here is to correct the error by providing an explicit description of the finite coproduct completion of the dual of the category of connected G -sets.. The description
We extend the definition of the Gysin morphism to the case of a projective morphism, which involves a delicate study of cobordism classes in the case of an arbitrary formal group
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
to an infinite family of crystalline representations of the same Hodge-Tate types with the same mod p reductions. In the next theorem we prove the same for any
In the first part of the paper some theoretical results (in- cluding the Lyapunov-Malkin theorem) are presented, followed in the second part by some of its applications in
Namely, in connection with a theorem of Goldstern [4] concerning certain uncountable intersections of coanalytic sets with the full probability measure, we show that an analogous
