Contemporary Mathematics 2002; 203 pp; softcover Volume: 316 ISBN10: 0821828002 ISBN13: 9780821828007 List Price: US$68 Member Price: US$54.40 Order Code: CONM/316
 This collection is the proceedings volume for the AMSIMSSIAM Joint Summer Research Conference, LusternikSchnirelmann 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 longstanding conjectures. LusternikSchnirelmann 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  P. Hilton  LusternikSchnirelmann category in homotopy theory
 M. Arkowitz, D. Stanley, and J. Strom  The \(\mathcal{A}\)category and \(\mathcal{A}\)cone length of a map
 H. Colman  Equivariant LScategory for finite group actions
 H. Colman and S. Hurder  Tangential LS category and cohomology for foliations
 M. C. CostoyaRamos  Spaces in the Mislin genus of a finite, simply connected co\(H_{0}\)space
 M. Cuvilliez and Y. Félix  Approximations to the \(\mathcal{F}\)killing length of a space
 G. Dula  Pseudocomultiplications, their Hopftype invariant and LusternikSchnirelmann category of conic spaces
 M. Farber  LusternikSchnirelman theory and dynamics
 C. Gavrila  The LusternikSchnirelmann theorem for the ball category
 P. Ghienne  The LusternikSchnirelmann category of spaces in the Mislin genus of \(Sp(3)\)
 J. R. Hubbuck and N. Iwase  A \(p\)complete version of the Ganea conjecture for co\(H\)spaces
 G. Lupton  The rational Toomer invariant and certain elliptic spaces
 H. J. Marcum  On the Hopf invariant of the Hopf construction
 J. Oprea  Bochnertype theorems for the Gottlieb group and injective toral actions
 J. Oprea and Y. Rudyak  Detecting elements and LusternikSchnirelmann category of 3manifolds
 J. Strom  Generalizations of category weight
