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Basic Facts on Ultrafilters

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The Theory of Ultrafilters

Part of the book series: Die Grundlehren der mathematischen Wissenschaften ((GL,volume 211))

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Abstract

With this introductory section we begin in earnest our study of ultrafilters. Some basic definitions already mentioned are collected here once more for emphasis. In §2, z-filters on spaces and filters on Boolean algebras were defined and considered; from now on we deal almost exclusively with filters on cardinals.

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© 1974 Springer-Verlag Berlin · Heidelberg

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Comfort, W.W., Negrepontis, S. (1974). Basic Facts on Ultrafilters. In: The Theory of Ultrafilters. Die Grundlehren der mathematischen Wissenschaften, vol 211. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-65780-1_7

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  • DOI: https://doi.org/10.1007/978-3-642-65780-1_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-65782-5

  • Online ISBN: 978-3-642-65780-1

  • eBook Packages: Springer Book Archive

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