Selecta Mathematica I [Paperback]

Karl Menger, one of the founders of dimension theory, is among the most original mathematicians and thinkers of the twentieth century. He was a member of the Vienna Circle and the founder of its mathematical equivalent, the Viennese Mathematical Colloquium. Both during his early years in Vienna and, after his emigration, in the United States, Karl Menger made significant contributions to a wide variety of mathematical fields, and greatly influenced many of his colleagues. These two volumes contain Menger's major mathematical papers, based on his own selection from his extensive writings. They deal with topics as diverse as topology, geometry, analysis and algebra, and also include material on economics, sociology, logic and philosophy. The Selecta Mathematica is a monument to the diversity and originality of Menger's ideas.

Karl Menger and Viennas Golden Autumn.- Commentary on Mengers Work on Dimension Theory.- Zur Dimensions- und Kurventheorie. Unver?ffentlichte Aufs?tze aus den Jahren 19211923, Monatshefte f?r Mathematik und Physik 36 (1929), 411432.- Das Hauptproblem ?ber die dimensionelle Struktur der R?ume, Proceedings Amsterdam 30 (1927), 138144.- Dimension und Zusammenhangsstufe, Mathematische Annalen 100 (1928), 618633.- Allgemeine R?ume und Cartesische R?ume. I., Proceedings Amsterdam 29 (1926), 476482.- Allgemeine R?ume und Cartesische R?ume. II.: ?ber umfassendste n-dimensionale Mengen, Proceedings Amsterdam 29 (1926), 11251128.- ?ber die Dimension von Punktmengen III. Zur Begr?ndung einer axiomatischen Theorie der Dimension, Monatshefte f?r Mathematik und Physik 36 (1929), 193218.- Axiomatische Einf?hrung des Dimensionsbegriffes, Comptes Rendus du Premier Congr?s des Math?maticiens des Pays Slaves. Warszawa. 1929, 5765.- Remarques sur la th?orie axiomatique de la dimension, Monatshefte f?r Mathematik und Physik 37 (1930), 169174.- ?ber die Hinweise auf Brouwer in Urysohns M?moirlóW