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https://hdl.handle.net/10316/4614
Title: | Exponentiation in V-categories | Authors: | Clementino, Maria Manuel Hofmann, Dirk |
Keywords: | Exponentiable object; Exponentiable morphism; V-category; Premetric space; Almost convex metric space; Totally convex metric space | Issue Date: | 2006 | Citation: | Topology and its Applications. 153:16 (2006) 3113-3128 | Abstract: | For a Heyting algebra V which, as a category, is monoidal closed, we obtain characterizations of exponentiable objects and morphisms in the category of V-categories and apply them to some well-known examples. In the case these characterizations of exponentiable morphisms and objects in the categories (P)Met of (pre)metric spaces and non-expansive maps show in particular that exponentiable metric spaces are exactly the almost convex metric spaces, while exponentiable complete metric spaces are the complete totally convex ones. | URI: | https://hdl.handle.net/10316/4614 | DOI: | 10.2307/2974855 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Artigos em Revistas Internacionais |
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file7d6df59f42444bfabc6b386418f60dc3.pdf | 159.65 kB | Adobe PDF | View/Open |
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