Groups of homotopy self-equivalences and related topics : proceedings of the Workshop on Groups of Homotopy Self-Equivalences and Related Topics, September 5-11, 1999, University of Milan, Gargnano, Italy / Ken-ichi Maruyama, John W. Rutter, editors.

Format:

Book

Conference/Event

Author/Creator:

Workshop on Groups of Homotopy Self-Equivalences and Related Topics, Corporate Author.

Contributor:

Maruyama, Ken-ichi, 1954- editor.

Rutter, John W., 1935- editor.

Conference Name:

Workshop on Groups of Homotopy Self-Equivalences and Related Topics (1999 : Università di Milano), issuing body.

Series:

Contemporary mathematics (American Mathematical Society) ; 274.

Contemporary mathematics, 0271-4132 ; 274

Language:

English

Subjects (All):

Homotopy equivalences--Congresses.

Homotopy equivalences.

Physical Description:

1 online resource (330 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2001]

Language Note:

English

Summary:

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

Contents:

""Square rings associated to elements in homotopy groups of spheres""""Fibrations with product of Eilenberg-MacLane space fibres I""; ""Self homotopy equivalences of equivariant spheres""; ""Two examples to illustrate properties of the group of self-equivalences of a finite CW complex X""; ""Nilpotency and localization of groups of fibre homotopy equivalences""; ""The homotopy groups of the homotopy fibre of an induced map of function spaces""; ""Fibrations, self homotopy equivalences and negative derivations""; ""Classifying spaces and a subgroup of the exceptional Lie group G2""

""The structure of the Hurewicz homomorphism""""Joins, diagonals and Hopf invariants""; ""A subgroup of self homotopy equivalences which is invariant on genus""; ""Composition structure of the self-maps of SU(3) or Sp(2)""; ""Self-homotopy of a suspension of the real 4-projective space""; ""Phantom elements and its applications""; ""Homotopy equivalences of lens spaces of one-relator groups""; ""Principal S1-bundles and forgetful maps""; ""Rational type of classifying spaces for fibrations""; ""Problems on self-homotopy equivalences""

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-7864-6

0-8218-5610-3