An error was encountered while trying to add the item to the cart. Please try again.
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
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
Available Formats:
Softcover ISBN: 978-0-8218-2683-6
Product Code: CONM/274
315 pp
List Price: $102.00 MAA Member Price:$91.80
AMS Member Price: $81.60 Electronic ISBN: 978-0-8218-7864-4 Product Code: CONM/274.E 315 pp List Price:$96.00
MAA Member Price: $86.40 AMS Member Price:$76.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $153.00 MAA Member Price:$137.70
AMS Member Price: $122.40 Click above image for expanded view 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 Available Formats:  Softcover ISBN: 978-0-8218-2683-6 Product Code: CONM/274 315 pp  List Price:$102.00 MAA Member Price: $91.80 AMS Member Price:$81.60
 Electronic ISBN: 978-0-8218-7864-4 Product Code: CONM/274.E 315 pp
 List Price: $96.00 MAA Member Price:$86.40 AMS Member Price: $76.80 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version. List Price:$153.00
MAA Member Price: $137.70 AMS Member Price:$122.40
• Book Details

Contemporary Mathematics
Volume: 2742001
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.

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
• Request Review Copy
• Get Permissions
Volume: 2742001
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.

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
Please select which format for which you are requesting permissions.