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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
induces an equivalence of categories, if we restrict to the full subcategories of based spaces of the homotopy type of connected CW-complexes and grouplike monoids of the homotopy
This theorem is applied to obtain pseudo-exponentiable objects of the homotopy slices Top //B of the category of topological spaces and the pseudo-slices Cat // B of the category
the Rozansky-Witten classes, (78) follows. This lemma is a special case of the more general proposition in [16] that relates the coproduct in graph homology with the product
Here we consider a category of M¨obius intervals and construct the Hopf algebra via the objective approach applied to a monoidal extensive category of combinatorial objects, with
In Section 3, we consider various “comparisons”: the combinatorial Hurewicz homomorphism, from homotopy to homology of simplicial complexes (3.1); the well-known canonical
Finally, Hu and Tholen described in [11] the free exact category, and the free regular category, on a category C with weak finite limits, as full subcategories of the presheaf
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
