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Titlebook: Index Analysis; Approach Theory at W R. Lowen Book 2015 Springer-Verlag London 2015 Approach Space.Ascoli Theorem.Asymptotic Center.Asympto

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Approach Theory Meets Topology,s and the Cech-Stone compactification. In the first section we treat function spaces, starting from arbitrary approach spaces and uniform gauge spaces. The results are applicable to any situation where for instance a choice has been made of a particular metric for a topology or a uniformity. In the
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Approach Theory Meets Functional Analysis,tructures and how using index analysis, this allows to obtain quantified results of which several classical results are simple corollaries. In a second part we see that the construction of the weak and weak* approach structures on normed spaces fits into the wider picture of what we call approach ve
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Approach Theory Meets Hyperspaces,l quantification of the Wijsman topology, in the second section we study the proximal topologies and in the last example, we study a quantified version of the Vietoris structure in the more general setup of closed sets in an arbitrary approach space.
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