Algebra, Topology, and Category Theory
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Algebra, Topology, and Category Theory

A Collection of Papers in Honor of Samuel Eilenberg

  1. 238 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Algebra, Topology, and Category Theory

A Collection of Papers in Honor of Samuel Eilenberg

Book details
Table of contents
Citations

About This Book

Algebra, Topology, and Category Theory: A Collection of Papers in Honor of Samuel Eilenberg is a collection of papers dealing with algebra, topology, and category theory in honor of Samuel Eilenberg. Topics covered range from large modules over artin algebras to two-dimensional Poincaré duality groups, along with the homology of certain H-spaces as group ring objects. Variable quantities and variable structures in topoi are also discussed. Comprised of 16 chapters, this book begins by looking at the relationship between the representation theories of finitely generated and large (not finitely generated) modules over an artin algebra. The reader is then introduced to reduced bar constructions on deRham complexes; some properties of two-dimensional Poincaré duality groups; and properties invariant within equivalence types of categories. Subsequent chapters explore the work of Samuel Eilenberg in topology; local complexity of finite semigroups; global dimension of ore extensions; and the spectrum of a ringed topos. This monograph will be a useful resource for students and practitioners of algebra and mathematics.

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Information

Publisher
Academic Press
Year
2014
ISBN
9781483262611
Topic
Mathematics
Subtopic
Algebra
Index
Mathematics

Table of contents

  1. Front Cover
  2. Algebra, Topology, and Category Theory: A Collection of Papers in Honor of Samuel Eilenberg
  3. Copyright Page
  4. Table of Contents
  5. List of Contributors
  6. Preface
  7. Chapter 1. Large Modules over Artin Algebras
  8. Chapter 2. Reduced Bar Constructions on deRham Complexes
  9. Chapter 3. Flatness and Project!vity of Modules That Come from C-Sets
  10. Chapter 4. Some Properties of Two-Dimensional Poincaré Duality Groups
  11. Chapter 5. Properties Invariant within Equivalence Types of Categories
  12. Chapter 6. Coherence for the Tensor Product of 2-Categories, and Braid Groups
  13. Chapter 7. Homology of Certain H-Spaces as Group Ring Objects
  14. Chapter 8. A Whitehead Theorem
  15. Chapter 9. Variable Quantities and Variable Structures in Topoi
  16. Chapter 10. The Work of Samuel Eilenberg in Topology
  17. Chapter 11. What It Means for a Coalgebra To Be Simply Connected
  18. Chapter 12. Local Complexity of Finite Semigroups
  19. Chapter 13. The Global Dimensions of Ore Extensions and Weyl Algebras
  20. Chapter 14. Global Dimension of Ore Extensions
  21. Chapter 15. On the Spectrum of a Ringed Topos
  22. Chapter 16. Forcing Topologies and Classifying Topoi
  23. Published Works of Samuel Eilenberg