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$G$-categories

About this Title

Robert Gordon

Publication: Memoirs of the American Mathematical Society
Publication Year: 1993; Volume 101, Number 482
ISBNs: 978-0-8218-2543-3 (print); 978-1-4704-0059-0 (online)
DOI: https://doi.org/10.1090/memo/0482
MathSciNet review: 1126178
MSC: Primary 18A35; Secondary 18A40, 18B25, 18C15, 18D05, 18E05

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Table of Contents

Chapters

  • 1. $G$-categories: The stable subcategory, $G$-limits and stable limits
  • 2. Systems of isomorphisms and stably closed $G$-categories
  • 3. Partial $G$-sets: $G$-adjoints and $G$-equivalence
  • 4. Par($G$-set) and $G$-representability
  • 5. Transversals
  • 6. Transverse limits and representations of transversaled functors
  • 7. Reflections and stable reflections
  • 8. $G$-cotripleability
  • 9. The standard factorization of insertion
  • 10. Cotripleability of stable reflectors
  • 11. The case of $\mathcal {D}^G$
  • 12. Induced stable reflections and their signatures
  • 13. The $\mathcal {D}^G$-targeted case