cucumber
发表于 2025-3-21 19:57:36
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agonist
发表于 2025-3-21 22:54:43
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manifestation
发表于 2025-3-22 01:18:39
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含糊其辞
发表于 2025-3-22 07:41:55
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钢笔记下惩罚
发表于 2025-3-22 11:38:44
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jaunty
发表于 2025-3-22 13:33:40
Adjoints,s. As motivation, we first reexamine the construction (§III.1) of a vector space . with basis .. For a fixed field . consider the functors . where, for each vector space W, U(W) is the set of all vectors in ., so that . is the forgetful functor, while, for any set ., .(.) is the vector space with basis ..
jaunty
发表于 2025-3-22 19:35:29
Daniele Di Castro,Giuseppe Balestrino of arrows. Each arrow .: . → . represents a function; that is, a set ., a set ., and a rule . ↦ . which assigns to each element . ∈ . an element . ∈ .; whenever possible we write . and not .(.), omitting unnecessary parentheses.
exceed
发表于 2025-3-23 00:45:55
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使隔离
发表于 2025-3-23 04:13:52
Daniele Di Castro,Giuseppe Balestrinoctor, or as universal elements of a set-valued functor. Each universal determines a representation of a corresponding set-valued functor as a hom-functor. Such representations, in turn, are analyzed by the Yoneda Lemma. Limits are an important example of universals — both the inverse limits (= proje
过份
发表于 2025-3-23 09:18:43
Soumaya Yacout,Vahid Ebrahimipours. As motivation, we first reexamine the construction (§III.1) of a vector space . with basis .. For a fixed field . consider the functors . where, for each vector space W, U(W) is the set of all vectors in ., so that . is the forgetful functor, while, for any set ., .(.) is the vector space with ba