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Lusternik-Schnirelmann Category and Related Topics
 
Edited by: O. Cornea Université de Lille, Lille, France
G. Lupton Cleveland State University, Cleveland, OH
J. Oprea Cleveland State University, Cleveland, OH
D. Tanré Université de Lille, Lille, France
Lusternik-Schnirelmann Category and Related Topics
Softcover ISBN:  978-0-8218-2800-7
Product Code:  CONM/316
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7906-1
Product Code:  CONM/316.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-2800-7
eBook: ISBN:  978-0-8218-7906-1
Product Code:  CONM/316.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Lusternik-Schnirelmann Category and Related Topics
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Lusternik-Schnirelmann Category and Related Topics
Edited by: O. Cornea Université de Lille, Lille, France
G. Lupton Cleveland State University, Cleveland, OH
J. Oprea Cleveland State University, Cleveland, OH
D. Tanré Université de Lille, Lille, France
Softcover ISBN:  978-0-8218-2800-7
Product Code:  CONM/316
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7906-1
Product Code:  CONM/316.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-2800-7
eBook ISBN:  978-0-8218-7906-1
Product Code:  CONM/316.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 3162002; 203 pp
    MSC: Primary 55; 57; 58;

    This collection is the proceedings volume for the AMS-IMS-SIAM Joint Summer Research Conference, Lusternik-Schnirelmann Category, held in 2001 at Mount Holyoke College in Massachusetts. The conference attracted an international group of 37 participants that included many leading experts. The contributions included here represent some of the field's most able practitioners.

    With a surge of recent activity, exciting advances have been made in this field, including the resolution of several long-standing conjectures. Lusternik-Schnirelmann category is a numerical homotopy invariant that also provides a lower bound for the number of critical points of a smooth function on a manifold. The study of this invariant, together with related notions, forms a subject lying on the boundary between homotopy theory and critical point theory.

    These articles cover a wide range of topics: from a focus on concrete computations and applications to more abstract extensions of the fundamental ideas. The volume includes a survey article by Peter Hilton that discusses earlier results from homotopy theory that form the basis for more recent work in this area.

    In this volume, professional mathematicians in topology and dynamical systems as well as graduate students will catch glimpses of the most recent views of the subject.

    Readership

    Research mathematicians in topology and dynamical systems and graduate students.

  • Table of Contents
     
     
    • Articles
    • Peter Hilton — Lusternik-Schnirelmann category in homotopy theory [ MR 1962149 ]
    • Martin Arkowitz, Donald Stanley and Jeffrey Strom — The $\scr A$-category and $\scr A$-cone length of a map [ MR 1962150 ]
    • Hellen Colman — Equivariant LS-category for finite group actions [ MR 1962151 ]
    • Hellen Colman and Steven Hurder — Tangential LS category and cohomology for foliations [ MR 1962152 ]
    • M. Cristina Costoya-Ramos — Spaces in the Mislin genus of a finite, simply connected co-$H_0$-space [ MR 1962153 ]
    • M. Cuvilliez and Y. Félix — Approximations to the $\scr F$-killing length of a space [ MR 1962154 ]
    • Giora Dula — Pseudo-comultiplications, their Hopf-type invariant and Lusternik-Schnirelmann category of conic spaces [ MR 1962155 ]
    • Michael Farber — Lusternik-Schnirelman theory and dynamics [ MR 1962156 ]
    • Caius Gavrila — The Lusternik-Schnirelmann theorem for the ball category [ MR 1962157 ]
    • Pierre Ghienne — The Lusternik-Schnirelmann category of spaces in the Mislin genus of $\rm Sp(3)$ [ MR 1962158 ]
    • J. R. Hubbuck and Norio Iwase — A $p$-complete version of the Ganea conjecture for co-$H$-spaces [ MR 1962159 ]
    • Gregory Lupton — The rational Toomer invariant and certain elliptic spaces [ MR 1962160 ]
    • Howard J. Marcum — On the Hopf invariant of the Hopf construction [ MR 1962161 ]
    • John Oprea — Bochner-type theorems for the Gottlieb group and injective toral actions [ MR 1962162 ]
    • John Oprea and Yuli Rudyak — Detecting elements and Lusternik-Schnirelmann category of 3-manifolds [ MR 1962163 ]
    • Jeffrey Strom — Generalizations of category weight [ MR 1962164 ]
  • 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
Volume: 3162002; 203 pp
MSC: Primary 55; 57; 58;

This collection is the proceedings volume for the AMS-IMS-SIAM Joint Summer Research Conference, Lusternik-Schnirelmann Category, held in 2001 at Mount Holyoke College in Massachusetts. The conference attracted an international group of 37 participants that included many leading experts. The contributions included here represent some of the field's most able practitioners.

With a surge of recent activity, exciting advances have been made in this field, including the resolution of several long-standing conjectures. Lusternik-Schnirelmann category is a numerical homotopy invariant that also provides a lower bound for the number of critical points of a smooth function on a manifold. The study of this invariant, together with related notions, forms a subject lying on the boundary between homotopy theory and critical point theory.

These articles cover a wide range of topics: from a focus on concrete computations and applications to more abstract extensions of the fundamental ideas. The volume includes a survey article by Peter Hilton that discusses earlier results from homotopy theory that form the basis for more recent work in this area.

In this volume, professional mathematicians in topology and dynamical systems as well as graduate students will catch glimpses of the most recent views of the subject.

Readership

Research mathematicians in topology and dynamical systems and graduate students.

  • Articles
  • Peter Hilton — Lusternik-Schnirelmann category in homotopy theory [ MR 1962149 ]
  • Martin Arkowitz, Donald Stanley and Jeffrey Strom — The $\scr A$-category and $\scr A$-cone length of a map [ MR 1962150 ]
  • Hellen Colman — Equivariant LS-category for finite group actions [ MR 1962151 ]
  • Hellen Colman and Steven Hurder — Tangential LS category and cohomology for foliations [ MR 1962152 ]
  • M. Cristina Costoya-Ramos — Spaces in the Mislin genus of a finite, simply connected co-$H_0$-space [ MR 1962153 ]
  • M. Cuvilliez and Y. Félix — Approximations to the $\scr F$-killing length of a space [ MR 1962154 ]
  • Giora Dula — Pseudo-comultiplications, their Hopf-type invariant and Lusternik-Schnirelmann category of conic spaces [ MR 1962155 ]
  • Michael Farber — Lusternik-Schnirelman theory and dynamics [ MR 1962156 ]
  • Caius Gavrila — The Lusternik-Schnirelmann theorem for the ball category [ MR 1962157 ]
  • Pierre Ghienne — The Lusternik-Schnirelmann category of spaces in the Mislin genus of $\rm Sp(3)$ [ MR 1962158 ]
  • J. R. Hubbuck and Norio Iwase — A $p$-complete version of the Ganea conjecture for co-$H$-spaces [ MR 1962159 ]
  • Gregory Lupton — The rational Toomer invariant and certain elliptic spaces [ MR 1962160 ]
  • Howard J. Marcum — On the Hopf invariant of the Hopf construction [ MR 1962161 ]
  • John Oprea — Bochner-type theorems for the Gottlieb group and injective toral actions [ MR 1962162 ]
  • John Oprea and Yuli Rudyak — Detecting elements and Lusternik-Schnirelmann category of 3-manifolds [ MR 1962163 ]
  • Jeffrey Strom — Generalizations of category weight [ MR 1962164 ]
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
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