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Closure operators with prescribed properties

Part of the Lecture Notes in Mathematics book series (LNM,volume 1348)

Abstract

The notion of closure operator on a category is explored, utilizing the approach of Dikranjan and Giuli. Conditions on the underlying factorization structure are given, which allow the construction of closure operators satisfying a variety of extra conditions.

Keywords

  • Closure Operator
  • Separate Object
  • Underlie Factorization Structure
  • Composable Pair
  • Grothendieck Topology

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© 1988 Springer-Verlag

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Koslowski, J. (1988). Closure operators with prescribed properties. In: Borceux, F. (eds) Categorical Algebra and its Applications. Lecture Notes in Mathematics, vol 1348. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081360

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  • DOI: https://doi.org/10.1007/BFb0081360

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50362-0

  • Online ISBN: 978-3-540-45985-9

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