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Set Theory: Geometric and Real

In: The Mathematics of Paul Erdős II

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  • Péter Komjáth

    (Eötvös University, Department of Computer Science)

Abstract

In this Chapter we consider P. Erdős’ research on what can be called as the borderlines of set theory with some of the more classical branches of mathematics as geometry and real analysis. His continuing interest in these topics arose from the world view in which the prime examples of sets are those which are subsets of some Euclidean spaces. ‘Abstract’ sets of arbitrary cardinality are of course equally existing. Paul only uses his favorite game for inventing new problems; having solved some problems find new ones by adding and/or deleting some structure on the sets currently under research.

Suggested Citation

  • Péter Komjáth, 2013. "Set Theory: Geometric and Real," Springer Books, in: Ronald L. Graham & Jaroslav Nešetřil & Steve Butler (ed.), The Mathematics of Paul Erdős II, edition 2, pages 419-425, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4614-7254-4_24
    DOI: 10.1007/978-1-4614-7254-4_24
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