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Cubical Models of $(\infty,1)$-Categories
 
Brandon Doherty University of Western Ontario, London, Ontario, Canada
Krzysztof Kapulkin University of Western Ontario, London, Ontario, Canada
Softcover ISBN:  978-1-4704-6894-1
Product Code:  MEMO/297/1484
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7832-2
Product Code:  MEMO/297/1484.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6894-1
eBook: ISBN:  978-1-4704-7832-2
Product Code:  MEMO/297/1484.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Click above image for expanded view
Cubical Models of $(\infty,1)$-Categories
Brandon Doherty University of Western Ontario, London, Ontario, Canada
Krzysztof Kapulkin University of Western Ontario, London, Ontario, Canada
Softcover ISBN:  978-1-4704-6894-1
Product Code:  MEMO/297/1484
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7832-2
Product Code:  MEMO/297/1484.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6894-1
eBook ISBN:  978-1-4704-7832-2
Product Code:  MEMO/297/1484.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2972024; 110 pp
    MSC: Primary 18; Secondary 55

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • 1. Cubical sets and marked cubical sets
    • 2. Model structure on marked cubical sets
    • 3. Model structure on structurally marked cubical sets
    • 4. Joyal model structure on cubical sets
    • 5. Cones in cubical sets
    • 6. Comparison with the Joyal model structure
    • 7. Mapping spaces in cubical quasicategories
    • A. Verification of identities on $\theta $
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2972024; 110 pp
MSC: Primary 18; Secondary 55

View the abstract.

  • Chapters
  • Introduction
  • 1. Cubical sets and marked cubical sets
  • 2. Model structure on marked cubical sets
  • 3. Model structure on structurally marked cubical sets
  • 4. Joyal model structure on cubical sets
  • 5. Cones in cubical sets
  • 6. Comparison with the Joyal model structure
  • 7. Mapping spaces in cubical quasicategories
  • A. Verification of identities on $\theta $
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.