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The Functor that Wouldn’t be

A Contribution to the Theory of Things that Fail to Exist

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Categorical Perspectives

Part of the book series: Trends in Mathematics ((TM))

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References

  1. From H. Belloc: Cautionary Tales (1907).

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  2. Perhaps not so to those who (like Jirka) are familiar with V. Koubek’s paper Set Functors in Comment. Math. Univ. Carolinae 12 (1971) 175–195. The results in there provide another (completely different) proof of the fact that Problem 4 has a negative answer.

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  3. Related problems, — some natural, some unnatural, — some solved, some open —, are contained in the inspiring manuscripts B. Banaschewski and J.J.C. Vermeulen: On the non-functoriality of the maximal ideal space of a commutative ring. Preprint. Dec. 1998.

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  4. J. Adámek, H. Herrlich, J. Rosický, and W. Tholen: Injective Hulls are not Natural. Preprint, Dec. 1999.

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  5. J. Adámek, H. Herrlich, J. Rosický, and W. Tholen: On a Generalized Small-Object Argument for the Injective Subcategory Problem. Preprint, May 2000.

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Bremen, P.O. Box 33 o4 4o, 28334, Bremen, Germany

    Y. T. Rhineghost & H. Herrlich

Authors
  1. Y. T. Rhineghost
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  2. H. Herrlich
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Editor information

Editors and Affiliations

  1. Institut für Theoretische Informatik, TU Braunschweig, 38023, Braunschweig, Germany

    Jürgen Koslowski

  2. Department of Mathematics and Computer Science, Kent State University, Kent, OH, 44242, USA

    Austin Melton

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© 2001 Springer Science+Business Media New York

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Rhineghost, Y.T., Herrlich, H. (2001). The Functor that Wouldn’t be. In: Koslowski, J., Melton, A. (eds) Categorical Perspectives. Trends in Mathematics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-1370-3_2

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  • DOI: https://doi.org/10.1007/978-1-4612-1370-3_2

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7117-8

  • Online ISBN: 978-1-4612-1370-3

  • eBook Packages: Springer Book Archive

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