Topology pp 21-38 | Cite as

Sets

Chapter
Part of the UNITEXT book series (UNITEXT, volume 91)

Abstract

In this book we’ll always work within the so-called naïve set theory and completely avoid the axiomatic backgrounds. This choice has the advantage of leaving the reader free to pick his own preferred notions of ‘set’ ‘element’, for instance ones suggested by conventional wisdom, or those learnt during undergraduate lectures on algebra, analysis and geometry. The only exception will concern the axiom of choice, whose content is less evident from the point of view of elementary logic, or to the layman.

References

  1. [Ke55]
    Kelley, J.L.: General Topology. D. Van Nostrand Company Inc., Toronto (1955)Google Scholar
  2. [To03]
    Tourlakis, G.: Lectures in Logic and Set Theory, vol. 2. Cambridge University Press, Cambridge (2003)Google Scholar
  3. [Wa93]
    Wagon, S.: The Banach-Tarski Paradox. Cambridge University Press, Cambridge (1993)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of MathematicsSapienza - Università di RomaRomeItaly

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