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2-dimensional categories / Niles Johnson, Donald Yau.

By: Contributor(s): Publisher: Edition: First editionDescription: xix, 615 pages : illustrations ; 24 cmContent type:
  • text
Media type:
  • unmediated
Carrier type:
  • volume
ISBN:
  • 9780198871378
  • 9780198871385
Other title:
  • Two-dimensional categories
Subject(s): Additional physical formats: Electronic version:: 2-dimensional categories.DDC classification:
  • 512/.62 23 J67
LOC classification:
  • QA169 .J59 2021
Summary: 2--Dimensional Categories provides an introduction to 2-categories and bicategories, assuming only the most elementary aspects of category theory. A review of basic category theory is followed by a systematic discussion of 2-/bicategories; pasting diagrams; lax functors; 2-/bilimits; the Duskin nerve; the 2-nerve; internal adjunctions; monads in bicategories; 2-monads; biequivalences; the Bicategorical Yoneda Lemma; and the Coherence Theorem for bicategories. Grothendieck fibrations and the Grothendieck construction are discussed next, followed by tricategories, monoidal bicategories, the Gray tensor product, and double categories. Completely detailed proofs of several fundamental but hard-to-find results are presented for the first time. With exercises and plenty of motivation and explanation, this book is useful for both beginners and experts.-- Source other than the Library of Congress.
Item type: كتاب
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Item type Current library Call number Status Notes Date due Barcode
كتاب كتاب Central Library المكتبة المركزية 512.62 J67 (Browse shelf(Opens below)) Available قاعة الكتب

Includes bibliographical references and index.

2--Dimensional Categories provides an introduction to 2-categories and bicategories, assuming only the most elementary aspects of category theory. A review of basic category theory is followed by a systematic discussion of 2-/bicategories; pasting diagrams; lax functors; 2-/bilimits; the Duskin nerve; the 2-nerve; internal adjunctions; monads in bicategories; 2-monads; biequivalences; the Bicategorical Yoneda Lemma; and the Coherence Theorem for bicategories. Grothendieck fibrations and the Grothendieck construction are discussed next, followed by tricategories, monoidal bicategories, the Gray tensor product, and double categories. Completely detailed proofs of several fundamental but hard-to-find results are presented for the first time. With exercises and plenty of motivation and explanation, this book is useful for both beginners and experts.-- Source other than the Library of Congress.