The work of Professor Eduard Cech had a si~ificant influence on the development of algebraic and general topology and differential geometry. This book, which appears on the occasion of the centenary of Cech's birth, contains some of his most important papers and traces the subsequent trends emerging from his ideas. The body of the book consists of four chapters devoted to algebraic topology, Cech-Stone compactification, dimension theory and differential geometry. Each of these includes a selection of Cech's papers, a brief summary of some results which followed from his work or constituted solutions to the problems he posed, and several selected papers by various authors concerning the areas of study he initiated. The book also contains a concise biography borrowed with minor changes from the book Topological papers of E. tech, a list of Cech's publications and a very brief note on his activity in the didactics of mathematics. The editors wish to express their sincere gratitude to all who contributed to the completion and publication of this book.

The June 1993 conference was organized to commemorate the 100th anniversary of the birth of Czech mathematician Edward Cech. The main topics of the conference were the most recent results in the stable and unstable homotopy theory. Among the topics in 22 refereed papers: on finiteness of subgroups of self-homotopy equivalences; the Chen groups of the pure braid group; Morava's change of rings theorem; the Boardman homomorphism; and a comparison criterion for certain loop spaces. No index. Annotation copyright by Book News, Inc., Portland, OR

Profiles Czech mathematician Eduard Cech (1893-1960), with information provided by the University of Saint Andrews School of Mathematics and Statistics in Scotland as part of the MacTutor History of Mathematics Archive. Highlights his work in differential geometry.

In Natural Communication kritisiert der Autor das derzeitige Paradigma der Komplexitätswissenschaften, die Ziele immer spezifisch in den Blick nimmt. Er schlägt eine Alternative vor, die eine grundlegende Architektur der Kommunikation vorstellt. Sein Modell der „natürlichen Kommunikation" schließt moderne theoretische Konzepte aus Mathematik und Physik mit ein, insbesondere der Kategorietheorie und der Quantenmechanik. Er abstrahiert daraus präzise Grundbegriffe, die zu einer terminologischen Basis dieser Theorie führen und die Möglichkeit eröffnen, mit Komplexität neu umzugehen. Der Autor ist davon überzeugt, dass es nur durch einen Blick in die Vergangenheit möglich ist, eine Kontinuität und Kohärenz in unserer gegenwärtigen Denkweise herzustellen, insbesondere in Bezug auf die Komplexität.