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E-raamat: Homotopy Theory of Function Spaces and Related Topics

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  • Formaat: 230 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 11-Jan-2011
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9780821881989
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  • Formaat: 230 pages
  • Sari: Contemporary Mathematics
  • Ilmumisaeg: 11-Jan-2011
  • Kirjastus: American Mathematical Society
  • ISBN-13: 9780821881989
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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 crossfertilization 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.

Preface vii
Conference Participants ix
Conferemce Presentations xi
Survey Article
The homotopy theory of function spaces: A survey
3(40)
S. B. Smith
Contributed Articles
Upper bounds for the Whitehead-length of mapping spaces
43(12)
U. Buijs
String topology of classifying spaces and gravity algebras
55(12)
D. Chataur
A fibrewise stable splitting and free loops on projective spaces
67(10)
M. C. Crabb
Rational homotopy of symmetric products and spaces of finite subsets
77(16)
Y. Felix
D. Tanre
Derivations, Hochschild cohomology and the Gottlieb group
93(12)
J.-B. Gatsinzi
Rational homotopy groups of function spaces
105(10)
J.-B. Gatsinzi
R. Kwashira
Formality of the framed little 2-discs operad and semidirect products
115(8)
J. Giansiracusa
P. Salvatore
James construction, Fox torus homotopy groups, and Hopf invariants
123(10)
M. Golasinski
D. Goncalves
P. Wong
Notes on the triviality of adjoint bundles
133(12)
A. Kono
S. Tsukuda
Spaces of algebraic maps from real projective spaces into complex projective spaces
145(20)
A. Kozlowski
K. Yamaguchi
On the rational cohomology of the total space of the universal fibration with an elliptic fibre
165(16)
K. Kuribayashi
On the realizability of Gottlieb groups
181(8)
J. Oprea
J. Strom
Localization of grouplike function and section spaces with compact domain
189(14)
C. L. Schochet
S. B. Smith
Non-integral central extensions of loop groups
203(14)
C. Wockel
Problem List
Problems on mapping spaces and related subjects
217
Y. Felix