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Topologized objects in categories and the Sullivan profinite completion

โœ Scribed by Aristide Deleanu


Book ID
107816348
Publisher
Elsevier Science
Year
1982
Tongue
English
Weight
210 KB
Volume
25
Category
Article
ISSN
0022-4049

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If cg is any category with finite products, an object X of ยขg is said to be exponentiable (or cartesian) if the functor ( ) x X has a right adjoint. The aim of this paper is to characterize the exponentiable objects in the category TML of topological molecular lattices. The main result of this paper

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Regular projective quantales are characterized as the weakly \* -stable completely distributive lattices. For the class E of all onto quantale homomorphisms whose right adjoints preserve multiplication \* , it is proved that E-projective quantales are exactly weakly \* -stable completely distributiv