K

o How would you spend an extra $4,000 a year for the next twenty-five years?o How much more secure would your retirement be with an extra $100,000 or more?o How much more time could you spend at your family dinner table if you could work an hour less each day?o What would you do in retirement if you could retire three years earlier?Your 401(k) plan is probably one of your most important future sources of financial security. This book makes it easy for you to take the five steps needed to add more than $100,000 to your retirement nest egg without taking more risk or saving more money. This can allow you to improve your lifestyle, increase your benefits, identify the hidden costs and also improve your standing within your company by proactively helping your employer to take needed action.A popular industry speaker and writer, DAVID B. LOEPER is the founder and CEO of Financeware, Inc. in Richmond, VA. He has appeared on CNBC and Bloomberg TV, served on the Investment Advisory Committee of the $30 billion Virginia Retirement System, and was chairman of the Advisory Council for the Investment Management Consultants Association (IMCA). He earned the CIMA? designation (Certified Investment Management Analyst) from Wharton Business School in 1990 in conjunction with IMCA.

Some Applications of Topological K-Theory

These notes are based on the course of lectures I gave at Harvard in the fall of 1964. They constitute a self-contained account of vector bundles and K-theory assuming only the rudiments of point-set topology and linear algebra. One of the features of the treatment is that no use is made of ordinary homology or cohomology theory. In fact, rational cohomology is defined in terms of K-theory.The theory is taken as far as the solution of the Hopf invariant problem and a start is mode on the J-homomorphism. In addition to the lecture notes proper, two papers of mine published since 1964 have been reproduced at the end. The first, dealing with operations, is a natural supplement to the material in Chapter III. It provides an alternative approach to operations which is less slick but more fundamental than the Grothendieck method of Chapter III, and it relates operations and filtration. Actually, the lectures deal with compact spaces, not cell-complexes, and so the skeleton-filtration does not figure in the notes. The second paper provides a new approach to K-theory and so fills an obvious gap in the lecture notes.

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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.