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In case when V is the category Ab of Abelian groups and their homomorphisms, connected functors between one-object categories (that is, homomorphisms of rings with unit) are
In the protomodular context, a subobject is normal to at most one equivalence relation (of course, up to isomorphism), so that the normal subobjects characterize the
Consider the case when V is locally finitely presentable as a closed category in the sense of [Kel82-2], and Φ is the class of finite weights as described there; this includes the
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
When the including topos is locally connected, we also have the following: L is the smallest subtopos for which (the direct image functor of ) its inclusion preserves S -coproducts,
Assuming these are proven and that U is innite, let E be an equivalence relation on U such that there are innitely many equivalence classes and innitely many elements in each
I extend surplus analysis to overlapping generations. In the atemporal quasilinear model we have the & global equivalence principle ' : e $ ciency is equivalent to
A primary aim of this analysis is to assess the utility of Inglehart’s theory of societal value change, for understanding the reciprocal relationship which exists between
