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Groups of Homotopy Self-Equivalences and Related Topics
 
Edited by: Ken-ichi Maruyama :  Chiba University, Chiba, Japan
John W. Rutter :  University of Liverpool, Liverpool, England
Groups of Homotopy Self-Equivalences and Related Topics
eBook ISBN:  978-0-8218-7864-4
Product Code:  CONM/274.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
Groups of Homotopy Self-Equivalences and Related Topics
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Groups of Homotopy Self-Equivalences and Related Topics
Edited by: Ken-ichi Maruyama :  Chiba University, Chiba, Japan
John W. Rutter :  University of Liverpool, Liverpool, England
eBook ISBN:  978-0-8218-7864-4
Product Code:  CONM/274.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 274; 2001; 315 pp
    MSC: Primary 55

    This volume offers the proceedings from the workshop held at the Gargnano Institute of the University of Milan (Italy) on groups of homotopy self-equivalences and related topics. The book comprises articles of current research on the group of homotopy self-equivalences, the homotopy of function spaces, rational homotopy theory, the classification of homotopy types, and equivariant homotopy theory.

    Mathematicians from many areas of the globe attended the workshops to discuss their research and to share ideas. Included are two specially-written articles, by J. W. Rutter, reviewing the work done in the area of homotopy self-equivalences since 1988. Included also is a bibliography of some 122 articles published since 1988 and a list of problems. This book is suitable for both advanced graduate students and researchers.
    Readership

    Graduate students and research mathematicians interested in algebraic topology.
  • Table of Contents
     
     
    • Articles
    • John W. Rutter — Homotopy self-equivalences 1988–1999 [ MR 1816998 ]
    • John W. Rutter — Bibliography on $\scr E(X)$ 1988–1999 [ MR 1816999 ]
    • Martin Arkowitz, Gregory Lupton and Aniceto Murillo — Subgroups of the group of self-homotopy equivalences [ MR 1817000 ]
    • Sven Bauer, Michael Crabb and Mauro Spreafico — The space of free loops on a real projective space [ MR 1817001 ]
    • Hans-Joachim Baues and Yuri Drozd — Indecomposable homotopy types with at most two non-trivial homology groups [ MR 1817002 ]
    • Hans-Joachim Baues and Norio Iwase — Square rings associated to elements in homotopy groups of spheres [ MR 1817003 ]
    • Peter I. Booth — Fibrations with product of Eilenberg-MacLane space fibres. I [ MR 1817004 ]
    • Davide L. Ferrario — Self homotopy equivalences of equivariant spheres [ MR 1817005 ]
    • Y. Felix — Two examples to illustrate properties of the group of self-equivalences of a finite CW complex $X$ [ MR 1817006 ]
    • A. Garvín, A. Murillo, P. Pavešić and A. Viruel — Nilpotency and localization of groups of fibre homotopy equivalences [ MR 1817007 ]
    • K. A. Hardie and K. H. Kamps — The homotopy groups of the homotopy fibre of an induced map of function spaces [ MR 1817008 ]
    • Volker Hauschild — Fibrations, self homotopy equivalences and negative derivations [ MR 1817009 ]
    • Kenshi Ishiguro — Classifying spaces and a subgroup of the exceptional Lie group $G_2$ [ MR 1817010 ]
    • Donald Kahn and Christopher Schwartz — The structure of the Hurewicz homomorphism [ MR 1817011 ]
    • Howard J. Marcum — Joins, diagonals and Hopf invariants [ MR 1817012 ]
    • Ken-ichi Maruyama — A subgroup of self homotopy equivalences which is invariant on genus [ MR 1817013 ]
    • Kaoru Morisugi — Composition structure of the self maps of $\rm SU(3)$ or $\rm Sp(2)$ [ MR 1817014 ]
    • Juno Mukai — Self-homotopy of a suspension of the real 4-projective space [ MR 1817015 ]
    • Jianzhong Pan and Moo Ha Woo — Phantom elements and its applications [ MR 1817016 ]
    • John W. Rutter — Homotopy equivalences of lens spaces of one-relator groups [ MR 1817017 ]
    • H. Shiga, K. Tsukiyama and T. Yamaguchi — Principal $S^1$-bundles and forgetful maps [ MR 1817018 ]
    • Samuel Bruce Smith — Rational type of classifying spaces for fibrations [ MR 1817019 ]
    • Martin Arkowitz — Problems on Self-Homotopy Equivalences
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 274; 2001; 315 pp
MSC: Primary 55

This volume offers the proceedings from the workshop held at the Gargnano Institute of the University of Milan (Italy) on groups of homotopy self-equivalences and related topics. The book comprises articles of current research on the group of homotopy self-equivalences, the homotopy of function spaces, rational homotopy theory, the classification of homotopy types, and equivariant homotopy theory.

Mathematicians from many areas of the globe attended the workshops to discuss their research and to share ideas. Included are two specially-written articles, by J. W. Rutter, reviewing the work done in the area of homotopy self-equivalences since 1988. Included also is a bibliography of some 122 articles published since 1988 and a list of problems. This book is suitable for both advanced graduate students and researchers.
Readership

Graduate students and research mathematicians interested in algebraic topology.
  • Articles
  • John W. Rutter — Homotopy self-equivalences 1988–1999 [ MR 1816998 ]
  • John W. Rutter — Bibliography on $\scr E(X)$ 1988–1999 [ MR 1816999 ]
  • Martin Arkowitz, Gregory Lupton and Aniceto Murillo — Subgroups of the group of self-homotopy equivalences [ MR 1817000 ]
  • Sven Bauer, Michael Crabb and Mauro Spreafico — The space of free loops on a real projective space [ MR 1817001 ]
  • Hans-Joachim Baues and Yuri Drozd — Indecomposable homotopy types with at most two non-trivial homology groups [ MR 1817002 ]
  • Hans-Joachim Baues and Norio Iwase — Square rings associated to elements in homotopy groups of spheres [ MR 1817003 ]
  • Peter I. Booth — Fibrations with product of Eilenberg-MacLane space fibres. I [ MR 1817004 ]
  • Davide L. Ferrario — Self homotopy equivalences of equivariant spheres [ MR 1817005 ]
  • Y. Felix — Two examples to illustrate properties of the group of self-equivalences of a finite CW complex $X$ [ MR 1817006 ]
  • A. Garvín, A. Murillo, P. Pavešić and A. Viruel — Nilpotency and localization of groups of fibre homotopy equivalences [ MR 1817007 ]
  • K. A. Hardie and K. H. Kamps — The homotopy groups of the homotopy fibre of an induced map of function spaces [ MR 1817008 ]
  • Volker Hauschild — Fibrations, self homotopy equivalences and negative derivations [ MR 1817009 ]
  • Kenshi Ishiguro — Classifying spaces and a subgroup of the exceptional Lie group $G_2$ [ MR 1817010 ]
  • Donald Kahn and Christopher Schwartz — The structure of the Hurewicz homomorphism [ MR 1817011 ]
  • Howard J. Marcum — Joins, diagonals and Hopf invariants [ MR 1817012 ]
  • Ken-ichi Maruyama — A subgroup of self homotopy equivalences which is invariant on genus [ MR 1817013 ]
  • Kaoru Morisugi — Composition structure of the self maps of $\rm SU(3)$ or $\rm Sp(2)$ [ MR 1817014 ]
  • Juno Mukai — Self-homotopy of a suspension of the real 4-projective space [ MR 1817015 ]
  • Jianzhong Pan and Moo Ha Woo — Phantom elements and its applications [ MR 1817016 ]
  • John W. Rutter — Homotopy equivalences of lens spaces of one-relator groups [ MR 1817017 ]
  • H. Shiga, K. Tsukiyama and T. Yamaguchi — Principal $S^1$-bundles and forgetful maps [ MR 1817018 ]
  • Samuel Bruce Smith — Rational type of classifying spaces for fibrations [ MR 1817019 ]
  • Martin Arkowitz — Problems on Self-Homotopy Equivalences
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