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Closure operators in abelian categories and spectral spaces
Theory and applications of categories, Tome 32 (2017), pp. 719-735 Cet article a éte moissonné depuis la source Theory and Applications of Categories website

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We give several new ways of constructing spectral spaces starting with objects in abelian categories satisfying certain conditions which apply, in particular, to Grothendieck categories. For this, we consider the spaces of invariants of closure operators acting on subobjects of a given object. The key to our results is a newly discovered criterion of Finocchiaro that uses ultrafilters to identify spectral spaces along with subbases of quasi-compact open sets.

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Classification : 13B22, 14A05, 18E15, 54D80
Keywords: Spectral spaces, closure operators, abelian categories 
@article{TAC_2017_32_a19,
     author = {Abhishek Banerjee},
     title = {Closure operators in abelian categories and spectral spaces},
     journal = {Theory and applications of categories},
     pages = {719--735},
     year = {2017},
     volume = {32},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TAC_2017_32_a19/}
}
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Abhishek Banerjee. Closure operators in abelian categories and spectral spaces. Theory and applications of categories, Tome 32 (2017), pp. 719-735. http://geodesic.mathdoc.fr/item/TAC_2017_32_a19/