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Lecture Notes in Mathematics

Category Theory

Proceedings of the International Conference held in Como, Italy, July 22-28, 1990

Editors: Carboni, Aurelio, Pedicchio, Maria C., Rosolini, Giuseppe (Eds.)

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About this book

With one exception, these papers are original and fully refereed research articles on various applications of Category Theory to Algebraic Topology, Logic and Computer Science. The exception is an outstanding and lengthy survey paper by Joyal/Street (80 pp) on a growing subject: it gives an account of classical Tannaka duality in such a way as to be accessible to the general mathematical reader, and to provide a key for entry to more recent developments and quantum groups. No expertise in either representation theory or category theory is assumed. Topics such as the Fourier cotransform, Tannaka duality for homogeneous spaces, braided tensor categories, Yang-Baxter operators, Knot invariants and quantum groups are introduced and studies. From the Contents: P.J. Freyd: Algebraically complete categories.- J.M.E. Hyland: First steps in synthetic domain theory.- G. Janelidze, W. Tholen: How algebraic is the change-of-base functor?.- A. Joyal, R. Street: An introduction to Tannaka duality and quantum groups.- A. Joyal, M. Tierney: Strong stacks andclassifying spaces.- A. Kock: Algebras for the partial map classifier monad.- F.W. Lawvere: Intrinsic co-Heyting boundaries and the Leibniz rule in certain toposes.- S.H. Schanuel: Negative sets have Euler characteristic and dimension.-

Table of contents (28 chapters)

Table of contents (28 chapters)

Buy this book

eBook $54.99
price for USA in USD (gross)
  • ISBN 978-3-540-46435-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA in USD
  • ISBN 978-3-540-54706-8
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Category Theory
Book Subtitle
Proceedings of the International Conference held in Como, Italy, July 22-28, 1990
Editors
  • Aurelio Carboni
  • Maria C. Pedicchio
  • Giuseppe Rosolini
Series Title
Lecture Notes in Mathematics
Series Volume
1488
Copyright
1991
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-46435-8
DOI
10.1007/BFb0084207
Softcover ISBN
978-3-540-54706-8
Series ISSN
0075-8434
Edition Number
1
Number of Pages
VIII, 496
Topics

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