Equivariant Homotopy and Cohomology Theory

Equivariant Homotopy and Cohomology Theory

Author: J. Peter May

Publisher: American Mathematical Soc.

Published: 1996

Total Pages: 384

ISBN-13: 0821803190

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This volume introduces equivariant homotopy, homology, and cohomology theory, along with various related topics in modern algebraic topology. It explains the main ideas behind some of the most striking recent advances in the subject. The works begins with a development of the equivariant algebraic topology of spaces culminating in a discussion of the Sullivan conjecture that emphasizes its relationship with classical Smith theory. The book then introduces equivariant stable homotopy theory, the equivariant stable homotopy category, and the most important examples of equivariant cohomology theories. The basic machinery that is needed to make serious use of equivariant stable homotopy theory is presented next, along with discussions of the Segal conjecture and generalized Tate cohomology. Finally, the book gives an introduction to "brave new algebra", the study of point-set level algebraic structures on spectra and its equivariant applications. Emphasis is placed on equivariant complex cobordism, and related results on that topic are presented in detail.


Bulletin

Bulletin

Author: British Astronomical Association. New South Wales Branch

Publisher:

Published: 1953

Total Pages: 170

ISBN-13:

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Startups in Action

Startups in Action

Author: JP Silva

Publisher: Apress

Published: 2020-05-09

Total Pages: 146

ISBN-13: 1484257871

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The growing pains of a startup’s initial year in business require a keen awareness of uncertainties and a willingness to adapt in order to survive. Today’s new founders greatly benefit from taking a behind-the-scenes look at successful companies such as Etsy, HotelTonight, Fiverr, and more in regards to how they overcame the challenges of their first year. Startups in Action is your curated source for critical insights and inspiration from those who have been there before. This book documents the month-to-month journeys of these companies in their first year, zeroing in on key decisions that helped them recover from missteps, and adapt to complications, to eventually grow and succeed. Were the founders full-time from the beginning? How long did it take them to build a working prototype? How many end-users did they have in the first year? The answers to these questions are of interest to those who are just starting out and want to learn by example. Collected from interviews with the founders themselves, author JP Silva answers these questions and reveals how each of the startups charted their paths to success. Startups in Action is equal parts inspirational and practical, providing guidance through a foundation of relatability to help cope with situations and surprises experienced during a startup’s first year. Startup discourse is rife with myths and oversimplification. Cut through the noise and learn the events, actions, and counteractions only attainable from the founders themselves. As more and more aspiring entrepreneurs are about to start their journeys, the value of knowledge about difficult choices and obstacles that companies face in their first year is critical. With Startups in Action, you will benefit from the invaluable knowledge of experience and be prepared to face the challenges of building a successful startup. What You Will Learn Acquire critical insights from the most successful startups, easily available and collated in one bookCompare and contrast the first year journey of your startup with that of giants such as Etsy, StubHub, Fiverr, and moreLearn how to build better startups by understanding what you should or should not do Who This Book Is For This book is for new and aspiring founders, and those curious to learn about the journeys of successful startups.


The Oxford Dictionary of Difficult Words

The Oxford Dictionary of Difficult Words

Author: Archie Hobson

Publisher: Oxford University Press, USA

Published: 2004

Total Pages: 474

ISBN-13: 0195173287

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"Features more than 10,000 entries that focus exclusively on words that, while outside most people's working vocabulary, are often encountered in literature, in technical writings such as computing or medical terminology, and in such diverse subject areas as law, philosophy, and art. Special attention is given to easily confused or closely related words. Usage notes are provided to ensure that readers know how to integrate these words into their vocabularies for more precision and power in speech and writing."--Back cover.


Quantum Hall Effects: Field Theoretical Approach And Related Topics (2nd Edition)

Quantum Hall Effects: Field Theoretical Approach And Related Topics (2nd Edition)

Author: Zyun Francis Ezawa

Publisher: World Scientific Publishing Company

Published: 2008-01-21

Total Pages: 741

ISBN-13: 9813106808

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The quantum Hall effect (QHE) is one of the most fascinating and beautiful phenomena in all branches of physics. Tremendous theoretical and experimental developments are still being made in this sphere. In the original edition of this book, composite bosons, composite fermions and fractional charged excitations (anyons) were among the distinguished ideas presented. This new edition includes many novel ideas according to recent progress. Fantastic phenomena associated with the interlayer phase coherence and SU(4) quantum Hall ferromagnets in the bilayer system are extensively reviewed. The microscopic theory of the QHE is formulated based on noncommutative geometry, the underlying mathematical structure. Quasiparticles are described as noncommutative solitons. The coverage also includes the recent development of the unconventional QHE in graphene (a single atomic layer graphite), where the electron dynamics can be treated as relativistic Dirac fermions and even the supersymmetric quantum mechanics plays a key role. An instructive and comprehensive overview of the QHE, this book is also suitable as an introduction to quantum field theory with vivid applications. Only a knowledge of quantum mechanics is assumed.