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Fibrewise Homotopy Theory
  • Language: en
  • Pages: 344

Fibrewise Homotopy Theory

Topology occupies a central position in modern mathematics, and the concept of the fibre bundle provides an appropriate framework for studying differential geometry. Fibrewise homotopy theory is a very large subject that has attracted a good deal of research in recent years. This book provides an overview of the subject as it stands at present.

The Geometric Hopf Invariant and Surgery Theory
  • Language: en
  • Pages: 405

The Geometric Hopf Invariant and Surgery Theory

  • Type: Book
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  • Published: 2018-01-24
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  • Publisher: Springer

Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists. Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wide-ranging historical approach to the Hopf invariant, double points and surgery theory, with many results old and new.

Four-Dimensional Manifolds and Projective Structure
  • Language: en
  • Pages: 666

Four-Dimensional Manifolds and Projective Structure

  • Type: Book
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  • Published: 2023-07-11
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  • Publisher: CRC Press

Four-Dimensional Manifolds and Projective Structure may be considered first as an introduction to differential geometry and, in particular, to 4−dimensional manifolds, and secondly as an introduction to the study of projective structure and projective relatedness in manifolds. The initial chapters mainly cover the elementary aspects of set theory, linear algebra, topology, Euclidean geometry, manifold theory and differential geometry, including the idea of a metric and a connection on a manifold and the concept of curvature. After this, the author dives deeper into 4-dimensional manifolds and, in particular, the positive definite case for the metric. The book also covers Lorentz signature ...

Passion to Dance
  • Language: en
  • Pages: 498

Passion to Dance

  • Type: Book
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  • Published: 2011-10-23
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  • Publisher: Dundurn

This is the story of the National Ballet of Canada – the people, the determination, and how at sixty it is still creating new work while still representing the classics. Passion to Dance is the story of the National Ballet of Canada – the people who dreamt the company into existence, the determination needed to keep it afloat, the bumps on the road to its success, and above all, its passion for dance as a living, evolving art form. From catch-as-catch-can beginnings – borrowed quarters, tiny stages, enormous dreams the National Ballet has emerged as one of North America’s foremost dance troupes. The company at sixty is a company of its time, engaged in creating challenging new work, yet committed to maintaining the classics of the past, favourites like Swan Lake, The Nutcracker,and The Sleeping Beauty. One hundred and fifty photographs from the company’s archives illustrate this definitive history, filled with eyewitness accounts, backstage glimpses, and fascinating detail. This is a record of one of Canada’s boldest cultural experiments, a book to enjoy now and keep forever.

Groups of Homotopy Self-Equivalences and Related Topics
  • Language: en
  • Pages: 330

Groups of Homotopy Self-Equivalences and Related Topics

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.

Polynomials and the mod 2 Steenrod Algebra
  • Language: en
  • Pages: 381

Polynomials and the mod 2 Steenrod Algebra

This is the first book to link the mod 2 Steenrod algebra, a classical object of study in algebraic topology, with modular representations of matrix groups over the field F of two elements. The link is provided through a detailed study of Peterson's 'hit problem' concerning the action of the Steenrod algebra on polynomials, which remains unsolved except in special cases. The topics range from decompositions of integers as sums of 'powers of 2 minus 1', to Hopf algebras and the Steinberg representation of GL(n,F). Volume 1 develops the structure of the Steenrod algebra from an algebraic viewpoint and can be used as a graduate-level textbook. Volume 2 broadens the discussion to include modular representations of matrix groups.

Socio-Technical Aspects in Security
  • Language: en
  • Pages: 214

Socio-Technical Aspects in Security

This book constitutes revised selected papers from the refereed conference proceedings of the 11th International Workshop on Socio-Technical Aspects in Security and Trust, STAST 2021, held in conjunction with ESORICS, the European Symposium on Research in Computer Security, as a virtual event, in October 2021. The 10 full papers included in this book were carefully reviewed and selected from 25 submissions. They were organized in topical sections as follows: web and apps; context and modelling; and from the present to the future.

Toronto & Niagara Colourguide
  • Language: en
  • Pages: 260

Toronto & Niagara Colourguide

This fully updated edition of the Toronto & Niagara Colourguide is written entirely by knowledgeable local contributors and illustrated with more than 400 full-colour photographs. The guide explores Toronto's vibrant culture, cuisine, nightlife and shopping and provides an insider's view of the city's annual events, neighbourhoods, theatre and sports. The expanding Niagara region, a wine, food and cultural destination, is extensively covered. Like other Colourguides, this volume emphasizes cultural and heritage attractions including the recently-expanded Royal Ontario Museum and the revamped and greatly enhanced Art Gallery of Ontario. The listings section gives complete details and contact information about every attraction discussed.

USPTO Image File Wrapper Petition Decisions 0215
  • Language: en
  • Pages: 999

USPTO Image File Wrapper Petition Decisions 0215

  • Type: Book
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  • Published: Unknown
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  • Publisher: USPTO

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The Medical Register
  • Language: en
  • Pages: 420

The Medical Register

  • Type: Book
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  • Published: 1860
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  • Publisher: Unknown

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