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Feess-Dörr,Prätorius,Stegereast the era of Archimedes, smooth manifolds (curves, surfaces, mechanical configurations, the universe) have been a central focus in mathematics. They have always been at the core of interest in topology. After the seminal work of Milnor, Smale, and many others, in the last half of this century, th高深莫测 发表于 2025-3-22 02:38:09
Feess-Dörr,Prätorius,Stegern homotopy of fiber bundles before gauge fields and finally geometric phases in general are considered. All these issues fall also into the vast realm of characteristic classes and index theory. In a first reading the first two sections may be skipped.Addictive 发表于 2025-3-22 06:30:48
http://reply.papertrans.cn/95/9409/940858/940858_4.png带来墨水 发表于 2025-3-22 12:25:41
Feess-Dörr,Prätorius,Stegerof topology is essential to quantum field theorists; there is no doubt that tomorrow this will also be true for specialists in many other areas of theoretical physics. The amount of topological information used in the physics literature is very large. Most common is homotopy theory. But other subjec过滤 发表于 2025-3-22 16:47:04
Feess-Dörr,Prätorius,Stegerces can easily be found. Almost all necessary background information is found in .Geometric Aspects of General Topology,. the author‘s first book...Many kinds of hyperspaces and function spaces are investigated in various branches of mathematics, which are mostly infinite-dimensional. Among them, maCrumple 发表于 2025-3-22 17:54:37
ed as a course in real algebraic geometry. It starts with the elementary properties of real algebraic sets and ends with the recent solution of the Nash Conjecture. Chapter III and Chapter IV develop the theory of resolution towers. Resolution towers are basic topologically defined objects generaliz共同生活 发表于 2025-3-22 21:42:52
Allokationstheoretische Untersuchung der Verschuldens- und Gefährdungshaftungrnehmen zur Wahl des wohlfahrtsoptimalen Sorgfaltsniveaus bewegt. Im Falle der Risiko-Neutralität kann dabei auf die Berücksichtigung von Versicherungen verzichtet werden, da nur risiko-averse Unternehmen Versicherungsschutz nachfragen. Unter Risiko-Aversion verstehen wir schlicht, daß die Unternehmnonplus 发表于 2025-3-23 05:23:58
rate that this probability approaches 1 does not depend on the particular graph..Similar results are shown to hold in cases where restrictions are placed on the number of edges per branch in a graph embedding.孤僻 发表于 2025-3-23 07:05:37
Feess-Dörr,Prätorius,Stegerdix gathers some technical items and also gives an account of the origins, motivations and progression of the subject, including historical recollections of the author, who has been central to its development..978-3-031-28366-6978-3-031-28364-2Series ISSN 0072-7830 Series E-ISSN 2196-9701