| eBook ISBN: | 978-0-8218-8198-9 |
| Product Code: | CONM/519.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-8198-9 |
| Product Code: | CONM/519.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 519; 2010; 230 ppMSC: Primary 55; 46
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.
ReadershipGraduate students and research mathematicians interested in properties of function spaces.
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Table of Contents
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Survey Article [ MR 2572400 ]
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Samuel Bruce Smith — The homotopy theory of function spaces: a survey [ MR 2648701 ]
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Contributed Articles [ MR 2572400 ]
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Urtzi Buijs — Upper bounds for the Whitehead-length of mapping spaces [ MR 2648702 ]
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David Chataur — String topology of classifying spaces and gravity algebras [ MR 2648703 ]
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M. C. Crabb — A fibrewise stable splitting and free loops on projective spaces [ MR 2648704 ]
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Yves Félix and Daniel Tanré — Rational homotopy of symmetric products and spaces of finite subsets [ MR 2648705 ]
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J.-B. Gatsinzi — Derivations, Hochschild cohomology and the Gottlieb group [ MR 2648706 ]
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J.-B. Gatsinzi and R. Kwashira — Rational homotopy groups of function spaces [ MR 2648707 ]
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Jeffrey Giansiracusa and Paolo Salvatore — Formality of the framed little 2-discs operad and semidirect products [ MR 2648708 ]
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Marek Golasiński, Daciberg Gonçalves and Peter Wong — James construction, Fox torus homotopy groups, and Hopf invariants [ MR 2648709 ]
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Akira Kono and Shuichi Tsukuda — Notes on the triviality of adjoint bundles [ MR 2648710 ]
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Andrzej Kozlowski and Kohhei Yamaguchi — Spaces of algebraic maps from real projective spaces into complex projective spaces [ MR 2648711 ]
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Katsuhiko Kuribayashi — On the rational cohomology of the total space of the universal fibration with an elliptic fibre [ MR 2648712 ]
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John Oprea and Jeff Strom — On the realizability of Gottlieb groups [ MR 2648713 ]
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Claude L. Schochet and Samuel B. Smith — Localization of grouplike function and section spaces with compact domain [ MR 2648714 ]
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Christoph Wockel — Non-integral central extensions of loop groups [ MR 2648715 ]
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Problem List [ MR 2572400 ]
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Yves Félix — Problems on mapping spaces and related subjects [ MR 2648716 ]
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Additional Material
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
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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 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.
Graduate students and research mathematicians interested in properties of function spaces.
-
Survey Article [ MR 2572400 ]
-
Samuel Bruce Smith — The homotopy theory of function spaces: a survey [ MR 2648701 ]
-
Contributed Articles [ MR 2572400 ]
-
Urtzi Buijs — Upper bounds for the Whitehead-length of mapping spaces [ MR 2648702 ]
-
David Chataur — String topology of classifying spaces and gravity algebras [ MR 2648703 ]
-
M. C. Crabb — A fibrewise stable splitting and free loops on projective spaces [ MR 2648704 ]
-
Yves Félix and Daniel Tanré — Rational homotopy of symmetric products and spaces of finite subsets [ MR 2648705 ]
-
J.-B. Gatsinzi — Derivations, Hochschild cohomology and the Gottlieb group [ MR 2648706 ]
-
J.-B. Gatsinzi and R. Kwashira — Rational homotopy groups of function spaces [ MR 2648707 ]
-
Jeffrey Giansiracusa and Paolo Salvatore — Formality of the framed little 2-discs operad and semidirect products [ MR 2648708 ]
-
Marek Golasiński, Daciberg Gonçalves and Peter Wong — James construction, Fox torus homotopy groups, and Hopf invariants [ MR 2648709 ]
-
Akira Kono and Shuichi Tsukuda — Notes on the triviality of adjoint bundles [ MR 2648710 ]
-
Andrzej Kozlowski and Kohhei Yamaguchi — Spaces of algebraic maps from real projective spaces into complex projective spaces [ MR 2648711 ]
-
Katsuhiko Kuribayashi — On the rational cohomology of the total space of the universal fibration with an elliptic fibre [ MR 2648712 ]
-
John Oprea and Jeff Strom — On the realizability of Gottlieb groups [ MR 2648713 ]
-
Claude L. Schochet and Samuel B. Smith — Localization of grouplike function and section spaces with compact domain [ MR 2648714 ]
-
Christoph Wockel — Non-integral central extensions of loop groups [ MR 2648715 ]
-
Problem List [ MR 2572400 ]
-
Yves Félix — Problems on mapping spaces and related subjects [ MR 2648716 ]
