| 书目名称 | Topological Groups and Related Structures, An Introduction to Topological Algebra. | | 编辑 | Alexander Arhangel’skii,Mikhail Tkachenko | | 视频video | | | 丛书名称 | Atlantis Studies in Mathematics | | 图书封面 |  | | 描述 | Algebraandtopology,thetwofundamentaldomainsofmathematics,playcomplem- tary roles. Topology studies continuity and convergence and provides a general framework to study the concept of a limit. Much of topology is devoted to handling in?nite sets and in?nity itself; the methods developed are qualitative and, in a certain sense, irrational. - gebra studies all kinds of operations and provides a basis for algorithms and calculations. Very often, the methods here are ?nitistic in nature. Because of this difference in nature, algebra and topology have a strong tendency to develop independently, not in direct contact with each other. However, in applications, in higher level domains of mathematics, such as functional analysis, dynamical systems, representation theory, and others, topology and algebra come in contact most naturally. Many of the most important objects of mathematics represent a blend of algebraic and of topologicalstructures. Topologicalfunctionspacesandlineartopologicalspacesingeneral, topological groups and topological ?elds, transformation groups, topological lattices are objects of this kind. Very often an algebraic structure and a topology come naturally together; this | | 出版日期 | Book 2008 | | 关键词 | Area; Scope; algebra; cardinal invariant; cardinal invariants; compactness; construction; eXist; interface; k | | 版次 | 1 | | doi | https://doi.org/10.2991/978-94-91216-35-0 | | isbn_ebook | 978-94-91216-35-0Series ISSN 1875-7634 Series E-ISSN 2215-1885 | | issn_series | 1875-7634 | | copyright | Atlantis Press and the authors 2008 |
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书目名称Topological Groups and Related Structures, An Introduction to Topological Algebra.影响因子(影响力)
书目名称Topological Groups and Related Structures, An Introduction to Topological Algebra.影响因子(影响力)学科排名
书目名称Topological Groups and Related Structures, An Introduction to Topological Algebra.网络公开度
书目名称Topological Groups and Related Structures, An Introduction to Topological Algebra.网络公开度学科排名
书目名称Topological Groups and Related Structures, An Introduction to Topological Algebra.被引频次
书目名称Topological Groups and Related Structures, An Introduction to Topological Algebra.被引频次学科排名
书目名称Topological Groups and Related Structures, An Introduction to Topological Algebra.年度引用
书目名称Topological Groups and Related Structures, An Introduction to Topological Algebra.年度引用学科排名
书目名称Topological Groups and Related Structures, An Introduction to Topological Algebra.读者反馈
书目名称Topological Groups and Related Structures, An Introduction to Topological Algebra.读者反馈学科排名
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发表于 2025-3-21 19:13:35
