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Categories in Algebra, Geometry and Mathematical Physics
 
Edited by: Alexei Davydov Macquarie University, Sydney, Australia
Michael Batanin Macquarie University, Sydney, Australia
Michael Johnson Macquarie University, Sydney, Australia
Stephen Lack University of Western Sydney, Penrith South, Australia
Amnon Neeman Australian National University, Canberra, Australia
Categories in Algebra, Geometry and Mathematical Physics
Softcover ISBN:  978-0-8218-3970-6
Product Code:  CONM/431
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8110-1
Product Code:  CONM/431.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3970-6
eBook: ISBN:  978-0-8218-8110-1
Product Code:  CONM/431.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Categories in Algebra, Geometry and Mathematical Physics
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Categories in Algebra, Geometry and Mathematical Physics
Edited by: Alexei Davydov Macquarie University, Sydney, Australia
Michael Batanin Macquarie University, Sydney, Australia
Michael Johnson Macquarie University, Sydney, Australia
Stephen Lack University of Western Sydney, Penrith South, Australia
Amnon Neeman Australian National University, Canberra, Australia
Softcover ISBN:  978-0-8218-3970-6
Product Code:  CONM/431
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8110-1
Product Code:  CONM/431.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-3970-6
eBook ISBN:  978-0-8218-8110-1
Product Code:  CONM/431.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4312007; 467 pp
    MSC: Primary 18; 55; 81; 19

    Category theory has become the universal language of modern mathematics. This book is a collection of articles applying methods of category theory to the areas of algebra, geometry, and mathematical physics. Among others, this book contains articles on higher categories and their applications and on homotopy theoretic methods. The reader can learn about the exciting new interactions of category theory with very traditional mathematical disciplines.

    Readership

    Graduate students and research mathematicians interested in category theory and its applications.

  • Table of Contents
     
     
    • Articles
    • G. Maxwell Kelly — The beginnings of category theory in Australia [ MR 2342820 ]
    • John C. Baez and Urs Schreiber — Higher gauge theory [ MR 2342821 ]
    • Clemens Berger and Ieke Moerdijk — Resolution of coloured operads and rectification of homotopy algebras [ MR 2342815 ]
    • Julia E. Bergner — Simplicial monoids and Segal categories [ MR 2342822 ]
    • Francis Borceux and Dominique Bourn — Split extension classifier and centrality [ MR 2342823 ]
    • Dominique Bourn — Moore normalization and Dold-Kan theorem for semi-abelian categories [ MR 2342824 ]
    • Marta Bunge and Jonathon Funk — An intrinsic characterization of branched coverings [ MR 2342825 ]
    • Eugenia Cheng and Nick Gurski — The periodic table of $n$-categories for low dimensions. I. Degenerate categories and degenerate bicategories [ MR 2342826 ]
    • Boris Chorny — Abstract cellularization as a cellularization with respect to a set of objects [ MR 2342827 ]
    • Denis-Charles Cisinski — Batanin higher groupoids and homotopy types [ MR 2342828 ]
    • Brian Day and Ross Street — Centres of monoidal categories of functors [ MR 2342829 ]
    • Jürgen Fuchs, Ingo Runkel and Christoph Schweigert — Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions [ MR 2342830 ]
    • Ingo Runkel, Jens Fjelstad, Jürgen Fuchs and Christoph Schweigert — Topological and conformal field theory as Frobenius algebras [ MR 2342831 ]
    • George Janelidze and Walter Tholen — Characterization of torsion theories in general categories [ MR 2342832 ]
    • André Joyal and Joachim Kock — Weak units and homotopy 3-types [ MR 2342833 ]
    • André Joyal and Myles Tierney — Quasi-categories vs Segal spaces [ MR 2342834 ]
    • Jean-Louis Loday — Parking functions and triangulation of the associahedron [ MR 2342835 ]
    • Georges Maltsiniotis — La $K$-théorie d’un dérivateur triangulé [ MR 2342836 ]
    • Bernhard Keller — Appendice: Le dérivateur triangulé associé à une catégorie exacte [ MR 2342837 ]
    • Timothy Porter — Formal homotopy quantum field theories. II. Simplicial formal maps [ MR 2342838 ]
    • John Power — Three dimensional monad theory [ MR 2342839 ]
    • Richard Steiner — Orientals [ MR 2342840 ]
    • Dominic Verity — Weak complicial sets. II. Nerves of complicial Gray-categories [ MR 2342841 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 4312007; 467 pp
MSC: Primary 18; 55; 81; 19

Category theory has become the universal language of modern mathematics. This book is a collection of articles applying methods of category theory to the areas of algebra, geometry, and mathematical physics. Among others, this book contains articles on higher categories and their applications and on homotopy theoretic methods. The reader can learn about the exciting new interactions of category theory with very traditional mathematical disciplines.

Readership

Graduate students and research mathematicians interested in category theory and its applications.

  • Articles
  • G. Maxwell Kelly — The beginnings of category theory in Australia [ MR 2342820 ]
  • John C. Baez and Urs Schreiber — Higher gauge theory [ MR 2342821 ]
  • Clemens Berger and Ieke Moerdijk — Resolution of coloured operads and rectification of homotopy algebras [ MR 2342815 ]
  • Julia E. Bergner — Simplicial monoids and Segal categories [ MR 2342822 ]
  • Francis Borceux and Dominique Bourn — Split extension classifier and centrality [ MR 2342823 ]
  • Dominique Bourn — Moore normalization and Dold-Kan theorem for semi-abelian categories [ MR 2342824 ]
  • Marta Bunge and Jonathon Funk — An intrinsic characterization of branched coverings [ MR 2342825 ]
  • Eugenia Cheng and Nick Gurski — The periodic table of $n$-categories for low dimensions. I. Degenerate categories and degenerate bicategories [ MR 2342826 ]
  • Boris Chorny — Abstract cellularization as a cellularization with respect to a set of objects [ MR 2342827 ]
  • Denis-Charles Cisinski — Batanin higher groupoids and homotopy types [ MR 2342828 ]
  • Brian Day and Ross Street — Centres of monoidal categories of functors [ MR 2342829 ]
  • Jürgen Fuchs, Ingo Runkel and Christoph Schweigert — Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions [ MR 2342830 ]
  • Ingo Runkel, Jens Fjelstad, Jürgen Fuchs and Christoph Schweigert — Topological and conformal field theory as Frobenius algebras [ MR 2342831 ]
  • George Janelidze and Walter Tholen — Characterization of torsion theories in general categories [ MR 2342832 ]
  • André Joyal and Joachim Kock — Weak units and homotopy 3-types [ MR 2342833 ]
  • André Joyal and Myles Tierney — Quasi-categories vs Segal spaces [ MR 2342834 ]
  • Jean-Louis Loday — Parking functions and triangulation of the associahedron [ MR 2342835 ]
  • Georges Maltsiniotis — La $K$-théorie d’un dérivateur triangulé [ MR 2342836 ]
  • Bernhard Keller — Appendice: Le dérivateur triangulé associé à une catégorie exacte [ MR 2342837 ]
  • Timothy Porter — Formal homotopy quantum field theories. II. Simplicial formal maps [ MR 2342838 ]
  • John Power — Three dimensional monad theory [ MR 2342839 ]
  • Richard Steiner — Orientals [ MR 2342840 ]
  • Dominic Verity — Weak complicial sets. II. Nerves of complicial Gray-categories [ MR 2342841 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.