Results 11 to 20 of about 244,761 (318)
Controllability on Infinite-Dimensional Manifolds: A Chow–Rashevsky Theorem [PDF]
, 2014 One of the fundamental problems in control theory is that of controllability, the question of whether one can drive the system from one point to another with a given class of controls. A classical result in geometric control theory of finite-dimensional (
Mahdi Khajeh Salehani, Irina Markina
semanticscholar +8 more sources
HILBERT STRATIFOLDS AND A QUILLEN TYPE GEOMETRIC DESCRIPTION OF COHOMOLOGY FOR HILBERT MANIFOLDS
Forum of Mathematics, Sigma, 2018 In this paper we use tools from differential topology to give a geometric description of cohomology for Hilbert manifolds. Our model is Quillen’s geometric description of cobordism groups for finite-dimensional smooth manifolds [Quillen, ‘Elementary ...
MATTHIAS KRECK, HAGGAI TENE
doaj +2 more sources
Modelling character motions on infinite-dimensional manifolds [PDF]
The Visual Computer, 2014 In this article, we will formulate a mathematical framework that allows us to treat character animations as points on infinite-dimensional Hilbert manifolds. Constructing geodesic paths between animations on those manifolds allows us to derive a distance
Markus Eslitzbichler
semanticscholar +3 more sources
HOMOTOPY THEORY OF INFINITE DIMENSIONAL MANIFOLDS
Topology, 1966 AbstractIn the past several years there has been considerable interest in the theory of infinite dimensional differentiable manifolds. While most of the developments have quite properly stressed the differentiable structure, it is nevertheless true that the results and techniques are in large part homotopy theoretic in nature.
R. Palais
semanticscholar +3 more sources
Diffusion and Brownian motion on infinite-dimensional manifolds [PDF]
Transactions of the American Mathematical Society, 1972 The purpose of this paper is to construct certain diffusion processes, in particular a Brownian motion, on a suitable kind of infinite-dimensional manifold. This manifold is a Banach manifold modelled on an abstract Wiener space. Roughly speaking, each tangent space T x {T_x} is equipped with a norm
H. Kuo
semanticscholar +3 more sources
Deficiency in infinite-dimensional manifolds
General Topology and its Applications, 1971 AbstractThis paper is largely devoted to proving the following result: Let E be a Fréchet space homeomorphic to its own countable infinite product, M be a paracompact manifold modeled on E, and let K ⊂ M be closed. Then there exists a homeomorphism of M onto M × E taking K into M × {0} iff for each non-null, homotopically trivial open set U in M, U⧹K ...
T. Chapman
semanticscholar +3 more sources
A Morse complex for infinite dimensional manifolds - Part I [PDF]
Advances in Mathematics, 2003 In this paper and in the forthcoming Part II, we introduce a Morse complex for a class of functions f defined on an infinite dimensional Hilbert manifold M , possibly having critical points of infinite Morse index and co-index. The idea is to consider an
Alberto Abbondandolo, P. Majer
semanticscholar +5 more sources
Negligible subsets of infinite-dimensional Fréchet manifolds [PDF]
Proceedings of the American Mathematical Society, 1969 William H. Cutler
openalex +3 more sources
Absorbing systems in infinite-dimensional manifolds
Topology and its Applications, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Baars, Helma Gladdines, J. Mill
semanticscholar +3 more sources
Four classes of separable metric infinite-dimensional manifolds [PDF]
, 1970 compact absorption property, infinite deficiency.
T. A. Chapman
openalex +2 more sources