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Toposes, Triples and Theories
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Toposes, Triples and Theories Hardcover - 1984

by Michael Barr; M. Barr; C. Wells


From the publisher

As its title suggests, this book is an introduction to three ideas and the connections between them. Before describing the content of the book in detail, we describe each concept briefly. More extensive introductory descriptions of each concept are in the introductions and notes to Chapters 2, 3 and 4. A topos is a special kind of category defined by axioms saying roughly that certain constructions one can make with sets can be done in the category. In that sense, a topos is a generalized set theory. However, it originated with Grothendieck and Giraud as an abstraction of the of the category of sheaves of sets on a topological space. Later, properties Lawvere and Tierney introduced a more general id a which they called "elementary topos" (because their axioms did not quantify over sets), and they and other mathematicians developed the idea that a theory in the sense of mathematical logic can be regarded as a topos, perhaps after a process of completion. The concept of triple originated (under the name "standard construc in Godement's book on sheaf theory for the purpose of computing tions") sheaf cohomology. Then Peter Huber discovered that triples capture much of the information of adjoint pairs. Later Linton discovered that triples gave an equivalent approach to Lawverc's theory of equational theories (or rather the infinite generalizations of that theory). Finally, triples have turned out to be a very important tool for deriving various properties of toposes."

Details

  • Title Toposes, Triples and Theories
  • Author Michael Barr; M. Barr; C. Wells
  • Binding Hardcover
  • Edition First
  • Pages 347
  • Volumes 1
  • Language ENG
  • Publisher Springer, Berlin/Heidelberg/New York/Tokyo
  • Date 1984-12
  • ISBN 9780387961156 / 0387961151
  • Library of Congress subjects Categories (Mathematics), Toposes
  • Library of Congress Catalog Number 84020233
  • Dewey Decimal Code 512.55
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Toposes, Triples and Theories (Grundlehren der mathematischen Wissenschaften)
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Toposes, Triples and Theories (Grundlehren der mathematischen Wissenschaften)

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Toposes, Triples and Theories. Grundlehren der mathematischen Wissenschaften, No. 278
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Toposes, Triples and Theories. Grundlehren der mathematischen Wissenschaften, No. 278

by Barr, Michael, & Charles Wells

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Springer, 1985. First edition, first printing, 345 pp., hardcover, FAINT wear to cover edges else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
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Toposes, Triples and Theories
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Toposes, Triples and Theories

by M. Barr et C. Wells

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Springer-Verlag New York Inc., 1984. Good. Former library book. Signs of wear on the cover. No dust jacket. Edition 1984. Ammareal gives back up to 15% of this item's net price to charity organizations.
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