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Titlebook: Topology; Marco Manetti Textbook 2023Latest edition The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer N

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樓主
發(fā)表于 2025-3-21 17:47:53 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱Topology
編輯Marco Manetti
視頻videohttp://file.papertrans.cn/927/926473/926473.mp4
概述Provides a comprehensive treatment of the basic theory and of some complementary topics.Contains lots of exercises, of various difficulty level.Contains an original topological approach to sheaf cohom
叢書(shū)名稱UNITEXT
圖書(shū)封面Titlebook: Topology;  Marco Manetti Textbook 2023Latest edition The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer N
描述.This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn‘s lemma; topological spaces and continuous functions; con- nectedness and compactness; Alexandrov compactification; quotient topol- ogies; countability and separation axioms; prebasis and Alexander‘s theorem; the Tychonoff theorem and paracompactness; complete metric spaces and function spaces; Baire spaces; homotopy of maps; the fundamental group; the van Kampen theorem; covering spaces; Brouwer and Borsuk‘s theorems; free groups and free product of groups and basic category theory. While it is very concrete at the beginning, abstract concepts are gradually introduced. ..This second edition contains a new chapter?with a topological introduction to sheaf cohomology and applications.It also?corrects some inaccuracies and some additional exercises are proposed...The textbook is suitable for anyone needing a basic, comprehensive introduction to general and algebraic topology and its applications
出版日期Textbook 2023Latest edition
關(guān)鍵詞metric and topological spaces; compact and connected spaces; sheaf cohomology; homotopy and fundamental
版次2
doihttps://doi.org/10.1007/978-3-031-32142-9
isbn_softcover978-3-031-32141-2
isbn_ebook978-3-031-32142-9Series ISSN 2038-5714 Series E-ISSN 2532-3318
issn_series 2038-5714
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 23:02:53 | 只看該作者
板凳
發(fā)表于 2025-3-22 03:06:30 | 只看該作者
A Topological View of Sheaf Cohomology,ebraic objects. A special role in algebraic topology is played by homology and cohomology theories, and the aim of this chapter is to give an elementary and concise introduction to one of these, called ..
地板
發(fā)表于 2025-3-22 07:31:16 | 只看該作者
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發(fā)表于 2025-3-22 09:14:14 | 只看該作者
Sets,during undergraduate lectures on algebra, analysis and geometry. The only exception will concern the axiom of choice, whose content is less evident from the point of view of elementary logic, or to the layman.
6#
發(fā)表于 2025-3-22 14:42:27 | 只看該作者
2038-5714 vel.Contains an original topological approach to sheaf cohom.This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set th
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發(fā)表于 2025-3-22 19:06:42 | 只看該作者
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發(fā)表于 2025-3-22 21:19:54 | 只看該作者
Marco Manettic lifecycle, namely, design, delivery, evaluation and research. What would a vision of a truly open approach to design mean, beyond open educational resources towards a more explicit representation and sharing of the whole design process? With a shift towards more open learning and teaching practice
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發(fā)表于 2025-3-23 04:49:17 | 只看該作者
Marco Manettided. What this conception is we will elaborate on, specifically on how it affects design in education as it is customarily practiced. We will translate this conception to the context of technology-enhanced learning (TEL). Because of its potential to have an impact on education, TEL more than any oth
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發(fā)表于 2025-3-23 09:37:39 | 只看該作者
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