A new foundation of Topology, summarized under the name Convenient Topology, is considered such that several deficiencies of topological and uniform spaces are remedied. This does not mean that these spaces are superfluous. It means exactly that a better framework for handling problems of a topological nature is used. In this setting semiuniform convergence spaces play an essential role. They include not only convergence structures such as topological structures and limit space structures, but also uniform convergence structures such as uniform structures and uniform limit space structures,...
A new foundation of Topology, summarized under the name Convenient Topology, is considered such that several deficiencies of topological and uniform s...
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches....
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't s...
The book collects original research papers on applied categorical structures, most of which have been presented at the North-West European Category Seminar 2003 in Berlin. The spectrum of these mathematical results reflects the varied interests of Horst Herrlich -- one of the leading category theorists of the world -- to whom this volume is dedicated in view of his 65th birthday and retirement. The book contains applications of categorical methods in various branches of mathematics such as algebra, analysis, logic and topology, as well as fuzzy structures and computer science. At the end of...
The book collects original research papers on applied categorical structures, most of which have been presented at the North-West European Category Se...
Die allgemeine Topologie, gelegentlich auch analytische oder mengentheoretische Topologie genannt, ist entstanden aus dem Bestreben, die aus der Analysis bekannten Begriffe wie Stetigkeit und Konvergenz auf eine allgemeine Grund lage zu stellen. Es soll hier nicht versucht werden, die historische Entwicklung aufzuzeigen, sondern viel mehr soll das Ergebnis jahrzehntelanger Forschungsarbeit in Form einer axiomatisch aufgebauten Theorie prasentiert werden. Dabei werden auch neueste Forschungsergebnisse berUcksichtigt. Langst hat sich die allgemeine Topologie 10sgelBst von der Analysis und zu...
Die allgemeine Topologie, gelegentlich auch analytische oder mengentheoretische Topologie genannt, ist entstanden aus dem Bestreben, die aus der Analy...
