differential topology of separable Banach manifolds
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differential topology of separable Banach manifolds by Nicolaas H. Kuiper

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Published by Mathematisch Instituut in Amsterdam .
Written in English

Subjects:

  • Differential topology.,
  • Banach manifolds.,
  • Differentiable manifolds.

Book details:

Edition Notes

StatementN. H. Kuiper.
SeriesReport / Mathematisch Instituut -- 70-07, Report (Mathematisch Instituut (Amsterdam, Netherlands)) -- 70-07.
The Physical Object
Pagination12 leaves ;
Number of Pages12
ID Numbers
Open LibraryOL14824467M

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The concepts of differential topology form the center of many mathematical disciplines such as differential geometry and Lie group theory. Differential Manifolds presents to advanced undergraduates and graduate students the systematic study of the topological structure of smooth manifolds. Author Antoni A. Kosinski, Professor Emeritus of Mathematics at Rutgers University, offers an accessible approach to both the h-cobordism theorem and the classification of differential /5(6). Abstract. In 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 Alpin [9] and Colojoara [3, 4] proved that every C∞-Hilbert- manifold has a smooth Cited by: 2. The study of differentiable manifolds and differentiable maps. One fundamental problem is that of classifying manifolds up to diffeomorphism. Differential topology is what Poincaré understood as topology or “analysis situs”.   The Differential of Maps over Open Sets of Quadrants of Banach Spaces. Differentiable Manifolds with Corners. Differentiable Maps. Topological Properties of the Differentiable Manifolds. Differentiable Partitions of Unity. Tangent Space of a Manifold at a Point. The Whitney Extension Theorem and the Inverse Mapping Theorem for Differentiable Manifolds Book Edition: 1.

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