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βX in Categorical Perspective

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The Stone-Čech Compactification

Part of the book series: Ergebnisse der Mathematik und ihrer Grenzgebiete ((MATHE2,volume 83))

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Abstract

Extensions of topological structures abound. In Chapter 1 we investigated the extensions βX and υX. Metric and uniform completions are also well known constructions, which, although not strictly topological, are similar. All satisfy a factorization property similar to the requirement that a mapping f of X to a compact space K extend to βX:

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© 1974 Springer-Verlag Berlin Heidelberg New York

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Walker, R.C. (1974). βX in Categorical Perspective. In: Walker, R.C. (eds) The Stone-Čech Compactification. Ergebnisse der Mathematik und ihrer Grenzgebiete, vol 83. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61935-9_10

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  • DOI: https://doi.org/10.1007/978-3-642-61935-9_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-61937-3

  • Online ISBN: 978-3-642-61935-9

  • eBook Packages: Springer Book Archive

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