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標(biāo)題: Titlebook: Lectures on Algebraic Topology; Albrecht Dold Book 1995Latest edition Springer-Verlag Berlin Heidelberg 1995 Algebraic topology.Homotopy.M [打印本頁(yè)]

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Preliminaries on Categories, Abelian Groups and Homotopy,eeds of later chapters, and not by intrinsic considerations. The reader should have some elementary knowledge of categories and abelian groups; otherwise he might find the treatment too concise. But even with very little knowledge he should probably start the reading with Chapter II, and refer to Ch
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Products, (i) Relations between ? and Hom which are familiar from (multi-)linear algebra; (ii) the mappings .: .?.→.(.?.) and .: . Hom (., .)→Hom (. C, .) of VI, 9.11, 10.8; (iii) the Eilenberg-Zilber mappings VI,12.1—plus, of course, the standard functorial properties of (co-)homology. The significance of p
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Manifolds,eous spaces are manifolds. If a (compact) Lie group operates on a manifold then the orbit of every point is a manifold; if the operation is sufficiently regular then the orbit space is also a manifold. The set of solutions .(.., ... , ..)∈?. of a sufficiently regular system of equations ..(.., ... ,
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) usually reply more or less in the following terms. An idea exists of the characteristics of socialism that are both desirable and possible in Western Europe and, more generally, in advanced capitalist countries; and there exists also a consolidated parliamentary experience which is common, by now,
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Albrecht Doldhe continued availability of sufficient material and energy resources and an environment that is sufficiently clean and attractive. Insofar as the economy is based on renewable resources, the proper functioning of natural processes and systems may become an essential precondition for society’s conti
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Albrecht Doldhe continued availability of sufficient material and energy resources and an environment that is sufficiently clean and attractive. Insofar as the economy is based on renewable resources, the proper functioning of natural processes and systems may become an essential precondition for society’s conti
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Albrecht Doldphilosophers and mathematicians pondered over its contradictory nature. In mathematics, the contradictions connected with infinity intensified after the creation, at the end of the 19th century, of the theory of infinite sets and the subsequent discovery, soon after, of paradoxes in this theory. At
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Albrecht Doldian Peace is Shai Har-El‘s unique, non-utopian, proactive approach to Middle East peace between Israelis and Palestinians. Recognizing the magnitude, complexity, and gravity of the Israeli-Palestinian conflict and the evidenced limitations of traditional diplomacy, the author offers ideas how to enh
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Preliminaries on Categories, Abelian Groups and Homotopy,apter I only when necessary. He may then find the reference in I too short, insufficient (some proofs are omitted), or too ad-hoc; in that case he should consult the relevant literature, samples of which are listed at the end of § 1 and § 2.
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ion in the management of the State; the necessity to develop institutions for workers’ control and to create a framework for democratic programming of the economy; representative democracy as the general form of the State and as the method for the formation of government trends. As can be seen, thes
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Albrecht Doldas an unnecessary formalization, an attempt to tear mathematics away from life-giving practical applications that sustain it. These differences notwithstanding, Bourbaki has had a significant influence on the evolution of mathematics in the twentieth century. In this book we try to tell the reader h
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