Tom Leinster (France Institut des Hautes Etudes Scientifiques)

Higher Operads, Higher Categories

Herausgeber: Cassels, J. W. S.; Hitchin, N. J.

• Broschiertes Buch

Produktbeschreibung

Higher-dimensional category theory draws its inspiration from areas as diverse as topology, quantum algebra, mathematical physics, logic, and theoretical computer science. This is the first book on the subject and lays its foundations, appealing to graduate students and researchers who wish to become acquainted with this modern branch of mathematics.

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Produktdetails

• London Mathematical Society Lecture Note Series
• Verlag: Cambridge University Press
• Seitenzahl: 448
• Erscheinungstermin: 22. April 2009
• Englisch
• Abmessung: 229mm x 152mm x 26mm
• Gewicht: 698g
• ISBN-13: 9780521532150
• ISBN-10: 0521532159
• Artikelnr.: 26433172

Inhaltsangabe

Part I. Background: 1. Classical categorical structures
2. Classical operads and multicategories
3. Notions of monoidal category
Part II. Operads. 4. Generalized operads and multicategories: basics
5. Example: fc-multicategories
6. Generalized operads and multicategories: further theory
7. Opetopes
Part III. n-categories: 8. Globular operads
9. A definition of weak n-category
10. Other definitions of weak n-category
Appendices: A. Symmetric structures
B. Coherence for monoidal categories
C. Special Cartesian monads
D. Free multicategories
E. Definitions of trees
F. Free strict n-categories
G. Initial operad-with-contraction.