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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
A right adjoint functor from an exact category in which every object is projective to any category admitting kernel-pairs of split epimorphisms is monadic if and only if it
This article deals with Chogoshvili cohomotopy functors which are defined by extending a cohomology functor given on some special auxiliary subcategories of the category of
4) In Example 2) replace cat by top and rename objects as points. However, if top is to be understood as the category of all topological spaces then we do not have a functor V
We further show that this definition coincides with the appropriate specialisa- tion of the definition developed by Beck [ 3 ], and hence that these objects form a suitable category
chain theories (cf. There exists a functor E from the category of chain theories of the second kind into the category of simplicial abelian group spectra... 4.3. Follows
It is proved that the above construction defines a functor from this category to the category of Lie–Leibniz algebras and in particular to Leibniz algebras; also the restriction of
There are well-known characterizations of the hereditary quotient maps in the category of topological spaces, (that is, of quotient maps stable under pullback along embeddings), as
