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manuscripta mathematica

, Volume 22, Issue 1, pp 63–75 | Cite as

On the external characterization of topological functors

  • Harvey Wolff
Article

Abstract

We characterize topological functors purely in terms of functors and natural transformations, free of any references to particular kinds of functor, such as faithful of full. This differs from the characterization given by Brümmer and Hoffmann (Lect. Notes in Math 540 (1976) 136–151). Using this characterization we give an external proof that a topological functor has a left and right adjoint. In addition we use the characterization to give a new external proof of Wyler's taut lifts theorem.

Keywords

Number Theory Algebraic Geometry Topological Group Natural Transformation Topological Functor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag 1977

Authors and Affiliations

  • Harvey Wolff
    • 1
  1. 1.Department of MathematicsUniversity of ToledoToledoUSA

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