Hereditary Ball-Covers for Some Banach Manifolds [PDF]
Proceedings of the American Mathematical Society, 1972 At a problem seminar in Ithaca, New York, during January 1969, James Eells raised the question (numbered 33 on the circulated list) of whether a paracompact Fréchet manifold admits a locally finite cover by open sets, all of whose intersections are contractible.
James E. West
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On the Banach manifold of simple domains in the Euclidean space and applications to free boundary problems [PDF]
Acta Applicandae Mathematicae - An International Survey Journal on Applying Mathematics and Mathematical Applications, 2019 In this paper we study the Banach manifold made up of simple C m + μ $C^{m+\mu }$ -domains in the Euclidean space R n $\mathbb{R}^{n}$ . This manifold is merely a topological or a C 0 $C^{0}$ Banach manifold not possessing a differentiable structure.
Shangbin Cui
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Spectral flow is the integral of one forms on the Banach manifold of self adjoint Fredholm operators [PDF]
, 2008 Alan L. Carey +2 more
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Banach manifold structure and infinite-dimensional analysis for causal fermion systems [PDF]
Annals of Global Analysis and Geometry, 2021 A mathematical framework is developed for the analysis of causal fermion systems in the infinite-dimensional setting. It is shown that the regular spacetime point operators form a Banach manifold endowed with a canonical Fréchet-smooth Riemannian metric.
F. Finster, Magdalena Lottner
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An Example of Banach and Hilbert manifold: the universal Teichmüller space
Trends in Mathematics, 2023 Hs-Diffeomorphisms groups of the circle. For s > 3/2, the group Diffs(S1) of Sobolev class Hs diffeomorphisms of the circle is a C∞-manifold modeled on the space of Hs-section of the tangent bundle TS1 ([1]), or equivalently on the space of real Hs ...
Alice Barbara Tumpach
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FREDHOLM MAPPINGS AND BANACH MANIFOLDS [PDF]
Journal of the Korean Mathematical Society, 2009 Dirección General de Enseñanza ...
Javier Arbizu
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Characterization of a Banach-Finsler manifold in terms of the algebras of smooth functions [PDF]
, 2011 In this note we give sufficient conditions to ensure that the weak Finsler structure of a complete C-k Finsler manifold M is determined by the normed algebra C-b(k)(M) of all real-valued, bounded and C-k smooth functions with bounded derivative defined ...
Jesús Á. Jaramillo +2 more
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Fibrations on Banach manifolds [PDF]
Pacific Journal of Mathematics, 2004 Let f be a split submersion between paracompact Banach manifolds. We obtain here various conditions for f to be a fiber bundle. First, we give general conditions in terms of path-liftings. As a consequence, we deduce several criteria: For example, f is a fiber bundle provided it satisfies either some topological requirements ( such as being a proper or
Olivia Gutú, Jesús Á. Jaramillo
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Bundles of acceleration on Banach manifolds [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2005 Abstract We consider an infinite-dimensional manifold M modelled on a Banach space E and we construct smooth fiber bundle structures on the tangent bundle of order two T 2 M , which consists of all smooth curves of M that agree up to their acceleration, as well as on the corresponding second-order frame bundle L 2 M ...
C. T. J. Dodson, George Galanis
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A Kolmogorov–Chentsov Type Theorem on General Metric Spaces with Applications to Limit Theorems for Banach-Valued Processes [PDF]
Journal of theoretical probability, 2021 This paper deals with moduli of continuity for paths of random processes indexed by a general metric space $$\Theta $$ Θ with values in a general metric space $${{\mathcal {X}}}$$ X .
Volker Krätschmer, M. Urusov
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