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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
Theorem 14]—we get Proposition 2.4: any short exact sequence of proper chain complexes induces a long exact sequence of homology objects.. Let Ch A be the category of chain complexes
In analogy with V -category theory we discuss such things as adjoint functors, (pointwise) left Kan extensions, weighted (co)limits, presheaves and free (co)completion,
This implies that, for any combinatorial model category K , there is a regular cardinal λ such that homotopy λ -filtered colimits are weak colimits, which leads to our generalized
(iv) The homotopy category obtained from the category of small symmetric monoidal categories and strictly unital op-lax maps by inverting the weak equivalences.. (v) The
Ursul, A note on epi-reflective subcategories of the category of abelian topological groups, Bulletins for Applied & Computer Mathematics, Pannonian Applied Mathematical
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
In Joyal’s concept of θ -category [J], the shape-category is the opposite of a certain category D, calledthe category of finite disks.. Joyal denotes D op by Θ, andcalls it the
