eBook - PDF
Algebra, Topology, and Category Theory
A Collection of Papers in Honor of Samuel Eilenberg
- 238 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Algebra, Topology, and Category Theory
A Collection of Papers in Honor of Samuel Eilenberg
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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Table of contents
- Front Cover
- Algebra, Topology, and Category Theory: A Collection of Papers in Honor of Samuel Eilenberg
- Copyright Page
- Table of Contents
- List of Contributors
- Preface
- Chapter 1. Large Modules over Artin Algebras
- Chapter 2. Reduced Bar Constructions on deRham Complexes
- Chapter 3. Flatness and Project!vity of Modules That Come from C-Sets
- Chapter 4. Some Properties of Two-Dimensional Poincaré Duality Groups
- Chapter 5. Properties Invariant within Equivalence Types of Categories
- Chapter 6. Coherence for the Tensor Product of 2-Categories, and Braid Groups
- Chapter 7. Homology of Certain H-Spaces as Group Ring Objects
- Chapter 8. A Whitehead Theorem
- Chapter 9. Variable Quantities and Variable Structures in Topoi
- Chapter 10. The Work of Samuel Eilenberg in Topology
- Chapter 11. What It Means for a Coalgebra To Be Simply Connected
- Chapter 12. Local Complexity of Finite Semigroups
- Chapter 13. The Global Dimensions of Ore Extensions and Weyl Algebras
- Chapter 14. Global Dimension of Ore Extensions
- Chapter 15. On the Spectrum of a Ringed Topos
- Chapter 16. Forcing Topologies and Classifying Topoi
- Published Works of Samuel Eilenberg
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Yes, you can access Algebra, Topology, and Category Theory by Alex Heller,Myles Tierney in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebra. We have over 1.5 million books available in our catalogue for you to explore.