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Fundamentals of General Topology

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Part of the Grundlehren der mathematischen Wissenschaften book series (GL,volume 159)

Abstract

In this preliminary chapter we gather together those ideas and theorems of general topology which we shall need later. We have also given proofs of the theorems, since an understanding of the methods of topology is essential for the study of vector spaces.

Keywords

  • Topological Space
  • Closure Point
  • Compact Space
  • Cauchy Sequence
  • Hausdorff Space

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  • DOI: 10.1007/978-3-642-64988-2_1
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© 1983 Springer-Verlag Berlin, Heidelberg

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Köthe, G. (1983). Fundamentals of General Topology. In: Topological Vector Spaces I. Grundlehren der mathematischen Wissenschaften, vol 159. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-64988-2_1

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  • DOI: https://doi.org/10.1007/978-3-642-64988-2_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64990-5

  • Online ISBN: 978-3-642-64988-2

  • eBook Packages: Springer Book Archive