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The Space of Sections as a Topological Space

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2054)

Abstract

In this chapter we shall shift our focus from an individual section to the space of all sections at once. The space of sections naturally forms a pro-discrete topological space, see Lemma 44, which allows important limit arguments in arithmetically relevant cases, see Lemma 48. The fundamental notion of a neighbourhood of a section is introduced and used to describe the decomposition tower of a section.

Keywords

  • Tower Decomposition
  • Limit Argument
  • Individual Sections
  • Section Conjecture
  • Characteristic Quotient

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Stix, J. (2013). The Space of Sections as a Topological Space. In: Rational Points and Arithmetic of Fundamental Groups. Lecture Notes in Mathematics, vol 2054. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30674-7_4

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