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Equivariant Infinite Loop Space Theory: The Space Level Story
 
J. Peter May The University of Chicago, Chicago, Illinois
Mona Merling University of Pennsylvania, Philadelphia, Pennsylvania
Angélica M. Osorno Reed College, Portland, Oregon
Softcover ISBN:  978-1-4704-7248-1
Product Code:  MEMO/305/1540
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: February 20, 2025
eBook ISBN:  978-1-4704-8042-4
Product Code:  MEMO/305/1540.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7248-1
eBook: ISBN:  978-1-4704-8042-4
Product Code:  MEMO/305/1540.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Not yet published - Preorder Now!
Expected availability date: February 20, 2025
Click above image for expanded view
Equivariant Infinite Loop Space Theory: The Space Level Story
J. Peter May The University of Chicago, Chicago, Illinois
Mona Merling University of Pennsylvania, Philadelphia, Pennsylvania
Angélica M. Osorno Reed College, Portland, Oregon
Softcover ISBN:  978-1-4704-7248-1
Product Code:  MEMO/305/1540
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Not yet published - Preorder Now!
Expected availability date: February 20, 2025
eBook ISBN:  978-1-4704-8042-4
Product Code:  MEMO/305/1540.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7248-1
eBook ISBN:  978-1-4704-8042-4
Product Code:  MEMO/305/1540.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Not yet published - Preorder Now!
Expected availability date: February 20, 2025
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 3052025; 136 pp
    MSC: Primary 55

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • 1. Preliminaries
    • 2. The simplicial and conceptual versions of the Segal machine
    • 3. The homotopical version of the Segal machine
    • 4. The generalized Segal machine
    • 5. The generalized operadic machine
    • 6. The equivalence between the Segal and operadic machines
    • 7. Proofs of technical results about the operadic machine
    • 8. Proofs of technical results about the Segal machine
    • 9. General topological groups and compact Lie groups
    • 10. Epilogue: Model categorical interpretations
    • A. Bearding functors $\mathscr {D}\longrightarrow G\mathscr {U}_*$
    • B. Realization of levelwise $G$-cofibrations and $G$-equivalences
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3052025; 136 pp
MSC: Primary 55

View the abstract.

  • Chapters
  • Introduction
  • 1. Preliminaries
  • 2. The simplicial and conceptual versions of the Segal machine
  • 3. The homotopical version of the Segal machine
  • 4. The generalized Segal machine
  • 5. The generalized operadic machine
  • 6. The equivalence between the Segal and operadic machines
  • 7. Proofs of technical results about the operadic machine
  • 8. Proofs of technical results about the Segal machine
  • 9. General topological groups and compact Lie groups
  • 10. Epilogue: Model categorical interpretations
  • A. Bearding functors $\mathscr {D}\longrightarrow G\mathscr {U}_*$
  • B. Realization of levelwise $G$-cofibrations and $G$-equivalences
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.