Geodesic
Closed hereditary additive and divisible subcategories in epireflective subcategories of top
Acta mathematica Universitatis Comenianae, Tome 83 (2014) no. 1, pp. 135-146 
Veronika Lackova; Veronika Lackova. Closed hereditary additive and divisible subcategories in epireflective subcategories of top. Acta mathematica Universitatis Comenianae, Tome 83 (2014) no. 1, pp. 135-146. http://geodesic.mathdoc.fr/item/AMUC_2014_83_1_a10/
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     author = {Veronika Lackova and Veronika Lackova},
     title = { Closed hereditary additive and divisible subcategories in epireflective subcategories of top},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {135--146},
     year = {2014},
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     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2014_83_1_a10/}
}
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Voir la notice de l'article provenant de la source Comenius University

The aim of this paper is to investigate closed hereditary additive and divisible (AD) subcategories of epireflective subcategories of the category Top. In quotient reflective subcategories of Top AD subcategories are precisely the coreflective subcategories. We describe the closed hereditary AD hull and the closed hereditary AD kernel of AD subcategories and present some results concerning minimal non-trivial closed hereditary AD subcategories in epire ective subcategories of Top. We also show that some of the results obtained for AD subcategories are not valid in the case of coreflective subcategories in epireflective subcategories that arenot quotient reflective, for instance in the category of Tychonoff spaces.