Homotopy Theory of Function Spaces and Related Topics

Homotopy Theory of Function Spaces and Related Topics PDF Author: Yves Félix
Publisher: American Mathematical Soc.
ISBN: 0821849298
Category : Mathematics
Languages : en
Pages : 246

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Book Description
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.

Homotopy Theory of Function Spaces and Related Topics

Homotopy Theory of Function Spaces and Related Topics PDF Author: Yves Félix
Publisher: American Mathematical Soc.
ISBN: 0821849298
Category : Mathematics
Languages : en
Pages : 246

Get Book Here

Book Description
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.

Abstract Function Spaces and Their Homotopy Theory

Abstract Function Spaces and Their Homotopy Theory PDF Author: James R. Jackson
Publisher:
ISBN:
Category : Homotopy theory
Languages : en
Pages : 152

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Book Description


Homotopy Theory and Related Topics

Homotopy Theory and Related Topics PDF Author: Hiroshi Toda
Publisher:
ISBN:
Category : Homotopy theory
Languages : en
Pages : 364

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Book Description
The papers in this volume are divided into the following four parts: 1. Simple homotopy theory and G-actions. 2. Classifying spaces and characteristic classes. 3. Topology of manifolds. 4. Homotopy problems - unstable and stable cases.

Algebraic Topology and Related Topics

Algebraic Topology and Related Topics PDF Author: Mahender Singh
Publisher: Springer
ISBN: 9811357420
Category : Mathematics
Languages : en
Pages : 313

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Book Description
This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the Indian Institute of Science Education and Research (IISER), Mohali, Punjab, India, from December 1 to 6, 2017. Algebraic topology is a broad area of mathematics that has seen enormous developments over the past decade, and as such this book is a valuable resource for graduate students and researchers working in the field.

Introduction to Homotopy Theory

Introduction to Homotopy Theory PDF Author: Martin Arkowitz
Publisher: Springer Science & Business Media
ISBN: 144197329X
Category : Mathematics
Languages : en
Pages : 352

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Book Description
This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows: Basic Homotopy; H-spaces and co-H-spaces; fibrations and cofibrations; exact sequences of homotopy sets, actions, and coactions; homotopy pushouts and pullbacks; classical theorems, including those of Serre, Hurewicz, Blakers-Massey, and Whitehead; homotopy Sets; homotopy and homology decompositions of spaces and maps; and obstruction theory. The underlying theme of the entire book is the Eckmann-Hilton duality theory. The book can be used as a text for the second semester of an advanced ungraduate or graduate algebraic topology course.

Groups of Homotopy Self-Equivalences and Related Topics

Groups of Homotopy Self-Equivalences and Related Topics PDF Author: Ken-ichi Maruyama
Publisher: American Mathematical Soc.
ISBN: 0821826832
Category : Mathematics
Languages : en
Pages : 330

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Book Description
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.

Symmetry for Elliptic PDEs

Symmetry for Elliptic PDEs PDF Author: Alberto Farina
Publisher: American Mathematical Soc.
ISBN: 0821848046
Category : Mathematics
Languages : en
Pages : 152

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Book Description
Contains contributions from the INdAM School on Symmetry for Elliptic PDEs, which marked ""30 years after a conjecture of De Giorgi, and related problems"" and provided an opportunity for experts to discuss the state of the art and open questions on the subject.

Advances in Non-Archimedean Analysis

Advances in Non-Archimedean Analysis PDF Author: Jesus Araujo-Gomez
Publisher: American Mathematical Soc.
ISBN: 0821852914
Category : Mathematics
Languages : en
Pages : 294

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Book Description
These collected articles feature recent developments in various areas of non-Archimedean analysis: Hilbert and Banach spaces, finite dimensional spaces, topological vector spaces and operator theory, strict topologies, spaces of continuous functions and of strictly differentiable functions, isomorphisms between Banach functions spaces, and measure and integration.

Gems in Experimental Mathematics

Gems in Experimental Mathematics PDF Author: Tewodros Amdeberhan
Publisher: American Mathematical Soc.
ISBN: 0821848690
Category : Mathematics
Languages : en
Pages : 426

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Book Description
These proceedings reflect the special session on Experimental Mathematics held January 5, 2009, at the Joint Mathematics Meetings in Washington, DC as well as some papers specially solicited for this volume. Experimental Mathematics is a recently structured field of Mathematics that uses the computer and advanced computing technology as a tool to perform experiments. These include the analysis of examples, testing of new ideas, and the search of patterns to suggest results and to complement existing analytical rigor. The development of a broad spectrum of mathematical software products, such as MathematicaR and MapleTM, has allowed mathematicians of diverse backgrounds and interests to use the computer as an essential tool as part of their daily work environment. This volume reflects a wide range of topics related to the young field of Experimental Mathematics. The use of computation varies from aiming to exclude human input in the solution of a problem to traditional mathematical questions for which computation is a prominent tool.

Algebraic Methods in Statistics and Probability II

Algebraic Methods in Statistics and Probability II PDF Author: Marlos A. G. Viana
Publisher: American Mathematical Soc.
ISBN: 0821848917
Category : Mathematics
Languages : en
Pages : 358

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Book Description
A decade after the publication of Contemporary Mathematics Vol. 287, the present volume demonstrates the consolidation of important areas, such as algebraic statistics, computational commutative algebra, and deeper aspects of graphical models. --