Contemporary Mathematics 2001; 315 pp; softcover Volume: 274 ISBN10: 0821826832 ISBN13: 9780821826836 List Price: US$96 Member Price: US$76.80 Order Code: CONM/274
 This volume offers the proceedings from the workshop held at the Gargnano Institute of the University of Milan (Italy) on groups of homotopy selfequivalences and related topics. The book comprises articles of current research on the group of homotopy selfequivalences, 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 speciallywritten articles, by J. W. Rutter, reviewing the work done in the area of homotopy selfequivalences 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  J. W. Rutter  Homotopy selfequivalences 19881999
 J. W. Rutter  Bibliography on \(\mathcal E(X)\) 19881999
 M. Arkowitz, G. Lupton, and A. Murillo  Subgroups of the group of selfhomotopy equivalences
 S. Bauer, M. Crabb, and M. Spreafico  The space of free loops on a real projective space
 H.J. Baues and Y. Drozd  Indecomposable homotopy types with at most two nontrivial homology groups
 H.J. Baues and N. Iwase  Square rings associated to elements in homotopy groups of spheres
 P. I. Booth  Fibrations with product of EilenbergMacLane space fibres I
 D. L. Ferrario  Self homotopy equivalences of equivariant spheres
 Y. Felix  Two examples to illustrate properties of the group of selfequivalences of a finite CW complex \(X\)
 A. Garvín, A. Murillo, P. Pavešić, and A. Viruel  Nilpotency and localization of groups of fibre homotopy equivalences
 K. A. Hardie and K. H. Kamps  The homotopy groups of the homotopy fibre of an induced map of function spaces
 V. Hauschild  Fibrations, self homotopy equivalences and negative derivations
 K. Ishiguro  Classifying spaces and a subgroup of the exceptional Lie group \(G_2\)
 D. Kahn and C. Schwartz  The structure of the Hurewicz homomorphism
 H. J. Marcum  Joins, diagonals and Hopf invariants
 K.i. Maruyama  A subgroup of self homotopy equivalences which is invariant on genus
 K. Morisugi  Composition structure of the self maps of \(SU(3)\) or \(Sp(2)\)
 J. Mukai  Selfhomotopy of a suspension of the real 4projective space
 J. Pan and M. H. Woo  Phantom elements and its applications
 J. W. Rutter  Homotopy equivalences of lens spaces of onerelator groups
 H. Shiga, K. Tsukiyama, and T. Yamaguchi  Principal \(S^1\)bundles and forgetful maps
 S. B. Smith  Rational type of classifying spaces for fibrations
 M. Arkowitz  Problems on selfhomotopy equivalences
