Cover for Algebra, Topology, and Category Theory

Algebra, Topology, and Category Theory

A Collection of Papers in Honor of Samuel Eilenberg

Book1976

Edited by:

ALEX HELLER and MYLES TIERNEY

Algebra, Topology, and Category Theory

A Collection of Papers in Honor of Samuel Eilenberg

Book1976

 

Cover for Algebra, Topology, and Category Theory

Edited by:

ALEX HELLER and MYLES TIERNEY

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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 o ... read full description

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  2. Book chapterAbstract only

    Large Modules over Artin Algebras

    MAURICE AUSLANDER

    Pages 1-17

  3. Book chapterAbstract only

    Reduced Bar Constructions on deRham Complexes

    KUO-TSAI CHEN

    Pages 19-32

  4. Book chapterAbstract only

    Flatness and Projectivity of Modules That Come from ℂ-Sets

    CHARLES CHING-AN CHENG and BARRY MITCHELL

    Pages 33-44

  5. Book chapterAbstract only

    Some Properties of Two-Dimensional Poincaré Duality Groups

    ELDON DYER and A.T. VASQUEZ

    Pages 45-54

  6. Book chapterAbstract only

    Properties Invariant within Equivalence Types of Categories

    PETER FREYD

    Pages 55-61

  7. Book chapterAbstract only

    Coherence for the Tensor Product of 2-Categories, and Braid Groups

    JOHN W. GRAY

    Pages 63-76

  8. Book chapterAbstract only

    Homology of Certain H-Spaces as Group Ring Objects

    DALE HUSEMOLLER

    Pages 77-94

  9. Book chapterAbstract only

    A Whitehead Theorem

    D.M. KAN

    Pages 95-99

  10. Book chapterAbstract only

    Variable Quantities and Variable Structures in Topoi

    F. WILLIAM LAWVERE

    Pages 101-131

  11. Book chapterAbstract only

    The Work of Samuel Eilenberg in Topology

    SAUNDERS MAC LANE

    Pages 133-144

  12. Book chapterAbstract only

    What It Means for a Coalgebra To Be Simply Connected

    JOHN C. MOORE

    Pages 145-148

  13. Book chapterAbstract only

    Local Complexity of Finite Semigroups

    JOHN RHODES and BRET TILSON

    Pages 149-168

  14. Book chapterAbstract only

    The Global Dimensions of Ore Extensions and Weyl Algebras

    GEORGE S. RINEHART and ALEX ROSENBERG

    Pages 169-180

  15. Book chapterAbstract only

    Global Dimension of Ore Extensions

    ALEX ROSENBERG and J.T. STAFFORD

    Pages 181-188

  16. Book chapterAbstract only

    On the Spectrum of a Ringed Topos

    MYLES TIERNEY

    Pages 189-210

  17. Book chapterAbstract only

    Forcing Topologies and Classifying Topoi

    MYLES TIERNEY

    Pages 211-219

  18. Book chapterNo access

    Published Works of Samuel Eilenberg

    Pages 221-225

About the book

Description

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.

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.

Details

ISBN

978-0-12-339050-9

Language

English

Published

1976

Copyright

Copyright © 1976 Elsevier Inc. All rights reserved.

Imprint

Academic Press

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Editors

ALEX HELLER

DEPARTMENT OF MATHEMATICS, THE GRADUATE SCHOOL, CITY UNIVERSITY OF NEW YORK, NEW YORK, NEW YORK

MYLES TIERNEY

DEPARTMENT OF MATHEMATICS, RUTGERS UNIVERSITY, NEW BRUNSWICK, NEW JERSEY