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- W4299638315 abstract "Manifold calculus of functors, due to M. Weiss, studies contravariant functors from the poset of open subsets of a smooth manifold to topological spaces. We introduce multivariable manifold calculus of functors which is a generalization of this theory to functors whose domain is a product of categories of open sets. We construct multivariable Taylor approximations to such functors, classify multivariable homogeneous functors, apply this classification to compute the derivatives of a functor, and show what this gives for the space of link maps. We also relate Taylor approximations in single variable calculus to our multivariable ones." @default.
- W4299638315 created "2022-10-02" @default.
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- W4299638315 date "2009-04-27" @default.
- W4299638315 modified "2023-09-27" @default.
- W4299638315 title "Multivariable manifold calculus of functors" @default.
- W4299638315 doi "https://doi.org/10.48550/arxiv.0904.4185" @default.
- W4299638315 hasPublicationYear "2009" @default.
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