椭圆
发表于 2025-3-25 05:59:15
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使混合
发表于 2025-3-25 08:28:39
Transfer of Arguments and StructuresIn this chapter, we illustrate the transfer of arguments and structural elements to other areas with two examples. Homological algebra as a technology for structural comparison and the concept of a group object for the formalization of symmetries.
思想
发表于 2025-3-25 11:39:07
Rings deeper into ring theory and discuss some interesting and fundamental structural properties of rings that we will need in later applications. At the same time, these considerations illustrate how to deal with algebraic structures.
审问,审讯
发表于 2025-3-25 18:05:53
Modulesbroad that it can form the framework for the relevant functions of almost all central areas of mathematics. On the other hand, the module structure is also so rich that it allows a significant theory that has extremely interesting applications. A key goal of this chapter is to provide convincing evidence for these two claims.
感激小女
发表于 2025-3-25 20:18:49
Specialization, Generalization and Unification of Structureslist of well-motivated structures that have not yet been listed in the first two parts. Otherwise, e.g., the absence of . would be inexcusable. Rather, the aim is to convey a sense that the structural considerations of the first two parts allow us to place a multitude of mathematical terms without much effort.
努力赶上
发表于 2025-3-26 02:58:17
978-3-662-69411-4The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer-Verlag GmbH, DE
反话
发表于 2025-3-26 05:52:52
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灰姑娘
发表于 2025-3-26 10:18:12
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adumbrate
发表于 2025-3-26 13:31:23
Sheavesthe objects assigned to two open sets should be compatible with each other when the open sets intersect. For continuous functions, this is the case since restrictions of continuous functions to the intersection are also continuous.
细微差别
发表于 2025-3-26 19:49:36
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