Homotopy theory of function spaces and related topics : Oberwolfach Workshop, April 5-11, 2009, Mathematisches Forschungsinstitut, Oberwolfach, Germany / Yves Félix, Gregory Lupton, Samuel B. Smith, editors.

Format:

Book

Conference/Event

Author/Creator:

Oberwolfach Workshop on Homotopy Theory of Function Spaces and Related Topics, Corporate Author.

Contributor:

Félix, Y. (Yves), editor.

Lupton, Gregory, 1960- editor.

Smith, Samuel B., 1966- editor.

Conference Name:

Oberwolfach Workshop on Homotopy Theory of Function Spaces and Related Topics (2009 : Mathematisches Forschungsinstitut Oberwolfach), issuing body.

Oberwolfach Workshop on Homotopy Theory of Function Spaces and Related Topics

Series:

Contemporary mathematics, 0271-4132 0271-4132 519

Contemporary mathematics, 519 0271-4132 0271-4132

Language:

English

Subjects (All):

Homotopy theory--Congresses.

Homotopy theory.

Function spaces--Congresses.

Function spaces.

Physical Description:

1 online resource (246 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2010]

Language Note:

English

Summary:

This volume contains the proceedings of the Workshop on Homotopy Theory of Function Spaces and Related Topics, which was held at the Mathematisches Forschungsinstitut Oberwolfach, in Germany, from April 5-11, 2009. This volume contains fourteen original research articles covering a broad range of topics that include: localization and rational homotopy theory, evaluation subgroups, free loop spaces, Whitehead products, spaces of algebraic maps, gauge groups, loop groups, operads, and string topology. In addition to reporting on various topics in the area, this volume is supposed to facilitate the exchange of ideas within Homotopy Theory of Function Spaces, and promote cross-fertilization between Homotopy Theory of Function Spaces and other areas. With these latter aims in mind, this volume includes a survey article which, with its extensive bibliography, should help bring researchers and graduate students up to speed on activity in this field as well as a problems list, which is an expanded and edited version of problems discussed in sessions held at the conference. The problems list is intended to suggest directions for future work.

Contents:

Contents

Preface

Conference Participants

Conference Presentations

Survey Article

The homotopy theory of function Spaces: A Survey

Contributed Articles

Upper Bounds for the Whitehead-Length of Mapping Spaces

String Topology of Classifying Spaces and Gravity Algebras

A Fibrewise Stable Splitting and Free Loops on Projective Spaces

Rational Homotopy of Symmetric Products and Spaces of Finite Subsets

Derivations, Hochschild Cohomology and the Gottlieb group

Rational homotopy groups of function Spaces

Formality of the Framed Little 2-Discs Operad and Semidirect Products

James Construction, Fox Torus Homotopy Groups, and Hopf Invariants

Notes on the Triviality of Adjoint Bundles

Spaces of Algebraic Maps From Real Projective Spaces Into Complex Projective Spaces

On the Rational Cohomology of the Total Space of the Universal Fibration Withan Elliptic Fibre

On the Realizability of Gottlieb Groups

Localization of Grouplike Function and Section Spaces with Compact Domain

Non-Integral Central Extensions of Loop Groups

Problem List

Problems on Mapping Spaces and Related Subjects.

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on print version record.

ISBN:

0-8218-8198-1