Category of manifolds
In mathematics, the category of manifolds, often denoted Manp, is the category whose objects are manifolds of smoothness class Cp and whose morphisms are p-times continuously differentiable maps. This is a category because the composition of two Cp maps is again continuous and of class Cp. One is often interested only in Cp-manifolds modeled on spaces in a fixed category A, and the category of such manifolds is denoted Manp(A). Similarly, the category of Cp-manifolds modeled on a fixed space E is denoted Manp(E).
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Category of manifolds
In mathematics, the category of manifolds, often denoted Manp, is the category whose objects are manifolds of smoothness class Cp and whose morphisms are p-times continuously differentiable maps. This is a category because the composition of two Cp maps is again continuous and of class Cp. One is often interested only in Cp-manifolds modeled on spaces in a fixed category A, and the category of such manifolds is denoted Manp(A). Similarly, the category of Cp-manifolds modeled on a fixed space E is denoted Manp(E).
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In mathematics, the category o ...... y of analytic manifolds, Manω.
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数学の一分野である圏論において Cp-級多様体の圏（たようた ...... 多様体の圏 Man∞ やの圏 Manω も同様に考えられる。
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In mathematics, the category o ...... ed space E is denoted Manp(E).
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数学の一分野である圏論において Cp-級多様体の圏（たようた ...... 多様体の圏 Man∞ やの圏 Manω も同様に考えられる。
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Category of manifolds
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多様体の圏
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