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Algebra ∪ topology

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Part of the Lecture Notes in Mathematics book series (LNM,volume 719)

Abstract

The smallest collection of functors that is closed under composition and contains all algebraic and all topological functors is characterized as the collection of those semi-topological functors that preserve regular epimorphisms.

AMS(MOS) subject classifications (1973) Primary

  • 18C10
  • 18A99
  • 18A20
  • Key Words and Phrases
  • (regular) monadic functors
  • regular functors
  • algebraic functors
  • topological functors
  • topologically-algebraic functors
  • semi-topological functors
  • regular epimorphisms

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References

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© 1979 Springer-Verlag

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Herrlich, H., Strecker, G.E. (1979). Algebra ∪ topology. In: Herrlich, H., Preuß, G. (eds) Categorical Topology. Lecture Notes in Mathematics, vol 719. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0065267

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  • DOI: https://doi.org/10.1007/BFb0065267

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09503-3

  • Online ISBN: 978-3-540-35193-1

  • eBook Packages: Springer Book Archive