Directory UMM :Journals:Journal_of_mathematics:GMJ:
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Here we study some basic constructs of homotopy, like homotopy pushouts and pullbacks, mapping cones and homotopy fibres, suspensions and loops, cofibre and fibre
When the category that we complete is not left exact but has some weaker kind of limit for finite diagrams, the universal property of the completion is usually stated with respect
In this section we analyze a simplicial set associated with a poset, having in mind two main aims: first, we want to introduce the first homotopy group of posets because we will
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
We shall also introduce a notion of openness for these generalized mor- phisms and we shall prove that open generalized morphisms of locally compact Hausdorff second countable
element in n -groupoids and prove that an n -semigroup has skew elements iff it is H -derived from a monoid with invertible elements (a generalization of classical Gluskin-Hossz´
One can find different de- scriptions (not as crossed modules) of internal categories and groupoids in groups, Mal’tsev varieties of universal algebras, congruence modular vari-
4. Consistent with most MRP implementations, we assume that the # ow of work in a multistage production environment can be modeled as the sum of four independent components:
