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Titlebook: Categorical Perspectives; Jürgen Koslowski,Austin Melton Book 2001 Springer Science+Business Media New York 2001 Abelian group.Category th

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發(fā)表于 2025-3-21 18:15:40 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Categorical Perspectives
編輯Jürgen Koslowski,Austin Melton
視頻videohttp://file.papertrans.cn/223/222530/222530.mp4
叢書名稱Trends in Mathematics
圖書封面Titlebook: Categorical Perspectives;  Jürgen Koslowski,Austin Melton Book 2001 Springer Science+Business Media New York 2001 Abelian group.Category th
描述."Categorical Perspectives" consists of introductory surveys as well as articles containing original research and complete proofs devoted mainly to the theoretical and foundational developments of category theory and its applications to other fields. A number of articles in the areas of topology, algebra and computer science reflect the varied interests of George Strecker to whom this work is dedicated. Notable also are an exposition of the contributions and importance of George Strecker‘s research and a survey chapter on general category theory. This work is an excellent reference text for researchers and graduate students in category theory and related areas. ..Contributors: H.L. Bentley * G. Castellini * R. El Bashir * H. Herrlich * M. Husek * L. Janos * J. Koslowski * V.A. Lemin * A. Melton * G. Preuá * Y.T. Rhineghost * B.S.W. Schroeder * L. Schr"der * G.E. Strecker * A. Zmrzlina.
出版日期Book 2001
關(guān)鍵詞Abelian group; Category theory; Finite; Topology; algebra; algebraic topology; computer; computer science; p
版次1
doihttps://doi.org/10.1007/978-1-4612-1370-3
isbn_softcover978-1-4612-7117-8
isbn_ebook978-1-4612-1370-3Series ISSN 2297-0215 Series E-ISSN 2297-024X
issn_series 2297-0215
copyrightSpringer Science+Business Media New York 2001
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Finite Ultrametric Spaces and Computer Science, these properties to computer science..A metric space (.) is called . [6] (or . [4], or . [9]) if its metric satisfies the strong triangle axiom: .This is usually called the Ultrametric Axiom. Ultrametric spaces were described up to homeomorphism in [3, 21], up to uniform equivalence in [10], and up
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Abelian Groups: Simultaneously Reflective and Coreflective Subcategories versus Modules,re exactly those isomorphic to categories of modules that are fully embedded into Ab. Rings giving rise to such modules are completely described. One of the curious special cases is provided by the full subcategory of Ab consisting of all torsion-free, divisible Abelian groups, which can be characte
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2297-0215 inly to the theoretical and foundational developments of category theory and its applications to other fields. A number of articles in the areas of topology, algebra and computer science reflect the varied interests of George Strecker to whom this work is dedicated. Notable also are an exposition of
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Conceptualizing Drivers of Forest Loss,with the structure of a separating base in the sense of Steiner. In the present paper, the generalization is carried one step further to the setting of nearness spaces in the sense of Herrlich. Thus, it is shown that by restricting the class of maps, but not the class of spaces, the (strict) completion of a nearness space becomes functorial.
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https://doi.org/10.1007/978-3-319-01559-0.. = . ○ .. Our main results concern linearization by systems (.) in which the norm of . is < 1. By a weakening of the equivariancy condition . ○ . = . ○ ., we show that a system which does not admit a finite dimensional linearization may still be linearized in this modified sense in a finite dimensional space.
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