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Butler’s theorems and adjoint squares

Note: / Butler's Theorems, with one minor exception, are resolved: in a 2-categorical setting. His Adjointness theorems are all proved correct, after one tiny modification. Then, using a condition on adjoint squares, twenty-two of his Tripleability theorems are proved correct; th~ee are proved false. The other theorem is still unresolved, but it is of very minor importance. / Les theoremes de Butler, a l'exception d'un seul de peu d'importance, sont resulus dans un contexte 2-categorique.Tous ses theoremes d'adjonction sont demontres etre valides apres une modification minime. Ensuit~ utilisant une condition de carres adjoints, vingt-deux de ses Theoremes de monadicite sont demontres et trois autres sont refutes. La validation ou refutation d'un seul de ses +heoremes, de peu d'importance, demeure en suspense.

Identiferoai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:QMM.121093
Date January 1984
CreatorsPower, A. J.
ContributorsBarr , Michael (Supervisor), Kelly, Max (Supervisor)
PublisherMcGill University
Source SetsLibrary and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada
LanguageEnglish
Detected LanguageEnglish
TypeElectronic Thesis or Dissertation
Formatapplication/pdf
CoverageDoctor of Philosophy. (Dept. of Mathematics and Statistics.)
RightsAll items in eScholarship@McGill are protected by copyright with all rights reserved unless otherwise indicated.
Relationalephsysno: 000193137, Theses scanned by McGill Library

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