Handbook of the History of General TopologyC.E. Aull, R. Lowen Springer Science & Business Media, 1997. gada 31. marts - 397 lappuses This account of the History of General Topology has grown out of the special session on this topic at the American Mathematical Society meeting in San Anto nio, Texas, 1993. It was there that the idea grew to publish a book on the historical development of General Topology. Moreover it was felt that it was important to undertake this project while topologists who knew some of the early researchers were still active. Since the first paper by Frechet, "Generalisation d'un theoreme de Weier strass", C.R. Acad. Sci. 139, 1904, 848-849, and Hausdorff's classic book, "Grundziige der Mengenlehre", Leipzig, 1914, there have been numerous de velopments in a multitude of directions and there have been many interactions with a great number of other mathematical fields. We have tried to cover as many of these as possible. Most contributions concern either individual topologists, specific schools, specific periods, specific topics or a combination of these. |
Saturs
II | 1 |
III | 21 |
IV | 31 |
V | 41 |
VI | 63 |
VII | 79 |
VIII | 85 |
IX | 97 |
XII | 113 |
XIII | 135 |
XIV | 181 |
XV | 243 |
XVI | 255 |
XVII | 343 |
XVIII | 357 |
391 | |
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Alexandroff algebraic Amer axioms BROUWER called categorical topology Čech characterized closed sets closed subset closure Colloquium Mathematicum compact spaces compactification completely regular spaces concept connectedness construction contains continuous functions continuous maps continuum coreflective countable curve defined definition dimension theory dissertation E-compact epireflective equivalent example finite Fréchet functor Fund Haus Hausdorff space HERRLICH Hilbert homeomorphic Hurewicz HUŠEK indecomposable inductive dimension intuitionistic Japan Acad Jones Knaster L. E. J. Brouwer locally compact locally connected M-space Math mathematicians mathematics Menger metric spaces Moore space Morita Nagata normal space notion open cover paper paracompact space plane problem Proc product spaces proof proved Theorem pseudo-arc quotient realcompact spaces reflective subcategories resp Riesz rings of continuous separable metric spaces sequence structure subcategories of Top subspaces Topo topological spaces topologists Topology Appl Tychonoff space uniform spaces Urysohn Vietoris zero-dimensional
Atsauces uz šo grāmatu
Felix Hausdorff - Gesammelte Werke Band II: Grundzüge der Mengenlehre Felix Hausdorff Priekšskatījums nav pieejams - 2002 |