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Compactness and Its Different Forms: Separation Axioms

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General Topology II

Part of the book series: Encyclopaedia of Mathematical Sciences ((EMS,volume 50))

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Abstract

A space X is called compact if every open cover of X contains a finite subcover. A compact Hausdorff space will be called a compactum. We shall see that the Hausdorff separation axiom has a great impact on the properties of compact spaces.

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© 1996 Springer-Verlag Berlin Heidelberg

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Arhangel’skii, A.V. (1996). Compactness and Its Different Forms: Separation Axioms. In: Arhangel’skii, A.V. (eds) General Topology II. Encyclopaedia of Mathematical Sciences, vol 50. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-77030-2_2

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  • DOI: https://doi.org/10.1007/978-3-642-77030-2_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-77032-6

  • Online ISBN: 978-3-642-77030-2

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