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Titlebook: Categorical Closure Operators; Gabriele Castellini Textbook 2003 Springer Science+Business Media New York 2003 Abelian group.Boundary valu

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M. Meydani,R. Fielding,K. R. MartinIn this chapter we introduce two important properties of closure operators: idempotency and weak heredity. As we shall see, these properties are strongly related to the theory of factorization structures.
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Nikolai G. Rainov,W. Demmel,V. HeideckeIn this chapter two new Galois connections are introduced with the purpose of relating the notion of connectedness introduced and analyzed in the previous two chapters to the one that was briefly introduced by Dikranjan and Giuli ([DG.]) but then mostly studied by Clementino and Tholen ([CT.]) that will be presented later in this chapter.
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Ahmed M. Raslan,S. McCartney,K. J. BurchielIn this final chapter, the Galois connections introduced in Chapters 14 and 16 are related to some previous constructions.
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Additional Descriptions of Ĉ and Č and Subobject OrthogonalityIn this chapter we provide further descriptions of the idempotent hull and the weakly hereditary core of a closure operator. We also introduce the notion of subobject orthogonality that will help us in our task.
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