Injectivity versus Exponentiability
نویسنده
چکیده
At the morphism level, exponentiability implies the existence of certain injective hulls. We prove a converse statement, thus showing an intimate link between the concepts given by the title.
منابع مشابه
Exponentiable morphisms of domains
Given a map f in the category ω-Cpo of ω-complete posets, exponentiability of f in ω-Cpo easily implies exponentiability of f in the category Pos of posets, while the converse is not true. We find then the extra conditions needed on f exponentiable in Pos to be exponentiable in ω-Cpo, showing the existence of partial products of the two-point ordered set S = {0 < 1} (Theorem 1.8). Using this ch...
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