Geodesic
Topological calculus for separating points from closed sets by maps
Czechoslovak Mathematical Journal, Tome 62 (2012) no. 1, pp. 257-264 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Pointfree formulas for three kinds of separating points for closed sets by maps are given. These formulas allow controlling the amount of factors of the target product space so that it does not exceed the weight of the embeddable space. In literature, the question of how many factors of the target product are needed for the embedding has only been considered for specific spaces. Our approach is algebraic in character and can thus be viewed as a contribution to Kuratowski's topological calculus.
Pointfree formulas for three kinds of separating points for closed sets by maps are given. These formulas allow controlling the amount of factors of the target product space so that it does not exceed the weight of the embeddable space. In literature, the question of how many factors of the target product are needed for the embedding has only been considered for specific spaces. Our approach is algebraic in character and can thus be viewed as a contribution to Kuratowski's topological calculus.
DOI : 10.1007/s10587-012-0010-0
Classification : 54A25, 54C25
Keywords: embedding; separating points from closed sets; weak separating points from closed sets; separating family; weight 
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     title = {Topological calculus for separating points from closed sets by maps},
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Gutiérrez García, Javier; Kubiak, Tomasz. Topological calculus for separating points from closed sets by maps. Czechoslovak Mathematical Journal, Tome 62 (2012) no. 1, pp. 257-264. doi: 10.1007/s10587-012-0010-0

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