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Relative Category Theory and Geometric Morphisms
  • Bandtyp: Inbunden
  • Språk: Engelska
  • Utgiven: 19920206
  • Antal sidor: 276
  • Vikt i gram: 566
  • ISBN10:0198534345
  • ISBN13:9780198534341

Relative Category Theory and Geometric Morphisms

(Inbunden)
Beskrivning:

Topos theory provides an important setting and language for much of mathematical logic and set theory. It is well known that a typed language can be given for a topos which allows a topos to be regarded as a category of sets. This enables a fruitful interplay between category theory and set theory. However, one stumbling block to a logical approach to topos theory has been the treatment of geometric morphisms. This book presents a convenient and natural solution to this problem by developing the notion of a frame relative to an elementary topos. The authors show how this technique enables a logical approach to be taken to topics such as category theory relative to a topos and the relative Giraud theorem. The work is essentially self-contained except that the authors presuppose a familiarity with basic category theory and topos theory.

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