Titlebook: Spaces of Continuous Functions; G.L.M. Groenewegen,A.C.M. van Rooij Book 2016 Atlantis Press and the author(s) 2016 Spaces of Continuous F

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G. L. M. Groenewegen,A. C. M. van Rooijh die Gelegenheit, in der neuen Auflage wichtige Entwicklungen und ihre Hintergründe bei den Approximationsnetzen zu beschreiben, neue Richtungen wie die Radial978-3-519-12247-0978-3-322-93994-4Series ISSN 1615-5432

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Spaces of Continuous Functions978-94-6239-201-4Series ISSN 1875-7634 Series E-ISSN 2215-1885

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Topological Preliminaries,We assume that the reader is familiar with basic topology. The present chapter serves mainly to provide reference points. It also obviates some ambiguities, mainly concerning nets and (sub)bases, where the definitions in the literature are not uniform.

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Metrizable Compact Spaces,Our theme is the connections between the topology of . and the abstract properties of .[.]. In this chapter we consider a simple, natural category of compact spaces: the metrizable ones.

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Riesz Spaces,In the foregoing we have considered . not only in the concrete sense as the collection of all continuous functions but also, more abstractly, as a vector space carrying a natural norm. Another aspect of . is its (partial) ordering.