积习难改
发表于 2025-3-23 09:55:50
https://doi.org/10.1007/978-1-4842-1239-4The following exercises provide some practice with manifolds that arise frequently in mathematics. The exercises for Chapter 9 contain other examples amenable to the methods from Chapter 2.
可用
发表于 2025-3-23 14:51:51
https://doi.org/10.1007/978-1-4302-2498-3. Prove that for each compact subset . ⊂ ℂ the complement ℂ. has exactly one unbounded connected component.
放大
发表于 2025-3-23 20:36:50
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opalescence
发表于 2025-3-24 00:40:59
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Thymus
发表于 2025-3-24 05:46:25
Picard’s TheoremIn this chapter, we shall prove the so-called “big” theorem of Picard which asserts that a holomorphic function with an (isolated) essential singularity assumes every value with at most one exception in any neighborhood of that singularity.
convert
发表于 2025-3-24 08:24:12
Applications of Runge’s TheoremThis chapter is devoted to various theorems which can be proved using Runge’s theorem: the existence of functions with prescribed zeros or poles, a “cohomological” version of Cauchy’s theorem, and related theorems. The last section concerns itself with .(Ω) as a ring (or ℂ-algebra).
exorbitant
发表于 2025-3-24 12:15:23
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echnic
发表于 2025-3-24 18:21:06
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Anecdote
发表于 2025-3-24 20:40:59
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ARK
发表于 2025-3-25 02:59:55
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