Heinz König Book order

Focusing on the restructuring of measure and integration theory, this book addresses limitations of traditional tools like the Carathéodory and Daniell-Stone theorems. It introduces a new systematic approach based on regularity, linking it to topology, and thereby unifying various concepts within measure theory. The text extends the Riesz representation theorem to arbitrary Hausdorff spaces and integrates non-additive set functions, enhancing the Choquet capacitability theorem. Designed for researchers and educators, the book is self-contained and accessible from foundational concepts.

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.