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This collection of Heinz Koenig's publications connects to his book of 1997 "Measure and Integration" and presents significant developments in the subject from then up to the present day. The result is a consistent new version of measure theory, including selected applications. The basic step is the introduction of the inner * (bullet) and outer * (bullet) premeasures and their extension to unique maximal measures. New "envelopes" for the initial set function (to replace the traditional Caratheodory outer measures) have been created, which lead to much simpler and more explicit treatment. In view of these new concepts, the main results are unmatched in scope and plainness, as well as in explicitness. Important examples are the formation of products, a unified Daniell-Stone-Riesz representation theorem, and projective limits. Further to the contributions in this volume, after 2011 Heinz Koenig published two more articles that round up his work: On the marginals of probability contents on lattices (Mathematika 58, No. 2, 319-323, 2012), and Measure and integration: the basic extension and representation theorems in terms of new inner and outer envelopes (Indag. Math., New Ser. 25, No. 2, 305-314, 2014).
This collection of Heinz Koenig's publications connects to his book of 1997 "Measure and Integration" and presents significant developments in the subject from then up to the present day. The result is a consistent new version of measure theory, including selected applications. The basic step is the introduction of the inner * (bullet) and outer * (bullet) premeasures and their extension to unique maximal measures. New "envelopes" for the initial set function (to replace the traditional Caratheodory outer measures) have been created, which lead to much simpler and more explicit treatment. In view of these new concepts, the main results are unmatched in scope and plainness, as well as in explicitness. Important examples are the formation of products, a unified Daniell-Stone-Riesz representation theorem, and projective limits. Further to the contributions in this volume, after 2011 Heinz Koenig published two more articles that round up his work: On the marginals of probability contents on lattices (Mathematika 58, No. 2, 319-323, 2012), and Measure and integration: the basic extension and representation theorems in terms of new inner and outer envelopes (Indag. Math., New Ser. 25, No. 2, 305-314, 2014).
This book aims at restructuring some fundamentals in measure and integration theory. It centers around the ubiquitous task to produce appropriate contents and measures from more primitive data like elementary contents and elementary integrals. It develops the new approach started around 1970 by Topsoe and others into a systematic theory. The theory is much more powerful than the traditional means and has striking implications all over measure theory and beyond.
This book aims at restructuring some fundamentals in measure and integration theory. It centers around the ubiquitous task to produce appropriate contents and measures from more primitive data like elementary contents and elementary integrals. It develops the new approach started around 1970 by Topsoe and others into a systematic theory. The theory is much more powerful than the traditional means and has striking implications all over measure theory and beyond.
Heinz Konig This volume contains fourteen papers, all except one were presented and discussed at an international seminar of the Sonderforschungsbereich 5, University Mannheim, on October 5th-7th, 1987. While the planned overall theme was originally limited to the problems of wage determination in their relation to unemployment, the papers presented cover a much broader field and treat the problems from a microeconomic as well as from a macroeconomic perspective. It was this mixture of methodological approaches which, at least in my mind, stimulated the discussion and have documented the advances in labor market and macroeconomic theory in recent years. Rising and persistently high unemployment rates in western countries since the mid 70's reshifted the economists' attention to the role of wages with respect to labor supply and demand. Most markets seem to clear, yet the labor market does not. Macro economic thinking in the 50's and 60's, following the Keynesian paradigm, attributed this missing "self-correction"-property to the rigidity of nominal wages. However, it was soon recognized that wages could be rigid without any implications for macroeconomic adjustment. As long as profits are sufficiently flexible, rigid wages do not prevent prices from reacting to fluctuations in nominal demand. Furthermore, it is less the nominal wage stickiness than the real wage rigidity which impedes market clearing. Most neo-Keynesian theories in recent years, therefore, try, given rational behavior of economic agents, to disentangle factors which are responsible for real rigidities in labor markets as well as in product markets.
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