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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.
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...
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.
The skills and strategies students practice to become proficient writers also nudge them closer to becoming proficient readers, so how can K-2 teachers connect reading and writing instruction in meaningful ways that allow students to go deeper in their thinking? This revised second edition provides tips, tools, and mini-lessons for integrating reading, writing, and speaking and listening. Each operational, print awareness, craft, and foundational writing mini-lesson identifies the connecting point to reading and speaking and listening with Target Skills¨ that can and should be revisited and reinforced during your reading block and any content area. By design, these books are not printable from a reading device. To request a PDF of the reproducible pages, please contact customer service at 1-888-262-6135.
Some Applications of Topological K-Theory
In this paper we shall prove two theorems which together allow the infinitesimal methods of Thom and Mather in singularity theory to be applied to problems of topological equivalence of mappings.
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