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A criterion for Banach manifolds to be finite-dimensional
Ukrainian Mathematical Journal, 1995We extend the results obtained in [1] to the case of arbitrary Banach spaces and manifolds. We give an example of a continuous bijective mapping with discontinuous inverse which acts in a Banach space and differs from the identical mapping only in an open unit ball.
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Differentiable Closed Embeddings of Banach Manifolds
1970In this paper a manifold X is a C k -manifold which is paracompact, normal, separable, and of differentiability class k, modelled on a separable Banach space B, whose norm is a k-times continuously differentiable function outside 0∈B, k≦ ∞. B with that norm is called a C k -Banach space.
Besseline Terpstra-Keppler+1 more
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Deformations of Banach Coverings of Complex Manifolds
American Journal of Mathematics, 1968Introduction. In this paper we investigate branched coverings of compact complex manifolds and, in particular, we answer certain questions connected with the deformation theory of branched coverings. Let M and W be compact complex manifolds, 311 a branched k-sheeted covering of W. The Main Theorem of ?
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Open Embeddings of Certain Banach Manifolds
The Annals of Mathematics, 1970K. D. Elworthy, J. Eells
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Image reconstruction by domain-transform manifold learning
Nature, 2018Bruce R Rosen, Matthew S Rosen
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Flexible Manifold Embedding: A Framework for Semi-Supervised and Unsupervised Dimension Reduction
IEEE Transactions on Image Processing, 2010Feiping Nie, Dong Xu, Ivor W Tsang
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