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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
In [2], classes of objects injective with respect to a set M of morphisms of a locally presentable category K were characterized: they are precisely the classes closed under products,
Second, we give a notion of an ideal over a category, using which one can build a model of BIST in which a given topos occurs as the sets.. And third, a sheaf model is given of a
Note that the action of E on the members of G is what enables us to make some sense of the notion of fundamental n -category for these globular sets despite the fact that a priori
The category of B-generated spaces contains among other things all geometric realiza- tions of simplicial sets, of cubical sets, all simplicial and cubical complexes, the
For a general semigroup T , the topos of presheaves on a category L ( T ) is not necessarily ap- propriate as its classifying topos mainly because of fact that general semigroups
Moreover, by restricting to the category of sets and partial functions, we rediscover the equivalence between the category of locally compact Hausdorff spaces with continuous and
In Section 2, we present the basic stochastic model. In Section 3, we define an index and a market based on this model and in Section 4, we introduce a payment process and an
