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Informally, $K$-theory is a tool for probing the structure of a mathematical object such as a ring or a topological space in terms of suitably parameterized vector spaces and producing important intrinsic invariants which are useful in the study of algebr
Little k has an adventure with items beginning with his letter's sound, such as kittens, kingbirds, a koala, and kids in a kindergarten. Additional features to aid comprehension include rebus icons for word recognition, a word list for review, activities for further learning, a note to parents and educators, and an introduction to the author and illustrator.
Some Applications of Topological K-Theory
This paper studies the mod 2 cohomology [italic]H*[italic]X of finite [italic]H-spaces. It is shown that when [italic]X is connected and simply connected then [italic]H*[italic]X has no indecomposables of even degree. As a consequence, [italic]H*([capital Greek]Omega[italic]X;[bold]Z) and [italic]K*[italic]X have no 2 torsion. The main result is proved by using Morava [script]K-theory.
Volume 2 of two - also available in a set of both volumes.
In this book the author takes a pedagogic approach to Algebraic K-theory. He tried to find the shortest route possible, with complete details, to arrive at the homotopy approach of Quillen [Q] to Algebraic K-theory, with a simple goal to produce a self-contained and comprehensive pedagogic document in Algebraic K-theory, that is accessible to upper level graduate students. That is precisely what this book faithfully executes and achieves.The contents of this book can be divided into three parts — (1) The main body (Chapters 2-8), (2) Epilogue Chapters (Chapters 9, 10, 11) and (3) the Background and preliminaries (Chapters A, B, C, 1). The main body deals with Quillen's definition of K-theo...
A recent Gallup poll in the US found that 70% of those in work didn't enjoy their job. In his latest book, John C. Parkin brings the power of saying "F**k It" to the subject of doing what we love. In this highly entertaining and motivational book, John sets out to prove that when we do what we love, we're actually more likely to be happier, healthier, wealthier, and more successful. He addresses the significant blocks that people experience when they consider doing what they love, including: "Doing what you love is for time off, not work", "Doing what I love would be selfish", "I just don't know what I love" and "I could never make a living from doing what I love". Through no-nonsense ideas, fascinating facts and motivating calls to action, John brings us from pessimism to inspiration, so that our thoughts become powered by "F**k it, I can't waste any more of my life", "F**k it, I will find a way to make this work", "F**k it, I will do what I love". F**k It: Do What You Love is not just a book: it's a step-by-step map to get every single person to spend their precious time on this planet doing what they love.
We apply the notion of single-valued neutrosophic sets to K-algebras. We develop the concept of single-valued neutrosophic K-subalgebras, and present some of their properties. Moreover, we study the behavior of single-valued neutrosophic K-subalgebras under homomorphism.
This book guides the adoption, design, development and expectation of future digital teaching and learning projects/programs in K12 schools. It provides a series of case studies and reports experiences from international digital teaching and learning projects in K12 education. The book also furnishes advice for future school policy and investment in digital teaching and learning projects. Finally, the book provides an explanation of the future capacity and sustainability of digital teaching and learning in K12 schools.