Download Handbook of the History of General Topology, Vol. 2 (History by C.E. Aull, R. Lowen PDF

By C.E. Aull, R. Lowen

This e-book is the second one quantity of the guide of the historical past of basic Topology. As used to be the case for the 1st quantity, the contributions contained in it challenge both person topologists, particular faculties of topology, particular sessions of improvement, particular issues or a mix of those. the second one quantity makes a speciality of the paintings of well-known topologists, corresponding to W. Sierpinski, okay. Kuratowski (both through R. Engelkind), S. Mazurkiewicz (by R. Pol) and R.G. Bing (by M. Starbird). in addition, it comprises articles overlaying Uniform, Proximinal and Nearness strategies in Topology (by H.L. Bentley, H. Herrlich, M. Husek), Hausdorff Compactifications (by R.E. Chandler, G. Faulkner), Continua thought (by J.J. Charatonik), Generalized Metrizable areas (by R.E. Hodel), minimum Hausdorff areas and Maximally attached areas (by J.R. Porter, R.M. Stephenson Jr.), Orderable areas (by S. Purisch), Developable areas (by S.D. Shore) and The Alexandroff-Sorgenfrey Line (by D.E. Cameron). including the 1st quantity and the coming near near volume(s) this paintings at the background of topology, in all its points, is exclusive, and provides vital perspectives and insights into the issues and improvement of topological theories and functions of topological suggestions, and into the existence and paintings of topologists. As such it's going to motivate not just additional learn within the historical past of the topic, yet additionally additional mathematical study within the box. it truly is a useful software for topology researchers and topology academics through the mathematical international.

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59-65. [M53] Compt. Rend. Paris 199, pp. 110-112. [M54] FM 24, pp. 118-134. [M55] FM 25, pp. 327-328. [M56] FM 26, pp. 272-279. [M57] FM 27, pp. 244-249. [M58] FM 28, pp. 7-10. [M59] FM 31, pp. 247-258. [M60] FM 33, pp. 177-228. , Theorie des Operations Lineaires, Warszawa 1932. , Topologie generale, Chap. 9, Paris 1958. , Fixed Point Theory, Warszawa 1982. , Theory of Dimensions Finite anf Infinite, Heldermann Verlag 1995. , Theorie der reellen Funktionen, Berlin 1921. , Grundriss der Mengerschen Dimensionstheorie, Math.

Before it went to the printer, World War II broke out, and the scholarly activity of Kuratowski suffered a five year interruption. The German occupation of Poland (1939-1945) brought many victims, also among mathematicians, and has been disastrous for Polish culture and science. The Nazi antisemitism forced Kuratowski to hide for a time under an assumed name. Several times he managed to escape death by a hair's breadth. Nevertheless, he lectured at the underground Warsaw University and collaborated with the Polish resistance, in spite of the fact that such activities involved the loss of life.

It has been my good fortune to have such a teacher. 2. Work in topology Kazimierz Kuratowski started his research with two polemical papers published in the leading Polish philosophical journal Przeglgd Filozoficzny in 1917 and 1919. He there discussed conditions for the correctness of definitions and the question of the independence of axioms. This start under the sign of logic is a symbolic expression of one of the main and permanent features of his intellect: the need for clarity and precision.

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