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Subjects
57-XX Manifolds and cell complexes
57Nxx Topological manifolds
57N75 General position and transversality

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Observability of control systems for polynomial inputs and genericity

Philippe Jouan (2001)

Applicationes Mathematicae

We consider smooth single-input, two-output systems on a compact manifold X. We show that the set of systems that are observable for any polynomial input whose degree is less than or equal to a given bound contains an open and dense subset of the set of smooth systems.

On manifolds with nonhomogeneous factors

Manuel Cárdenas, Francisco Lasheras, Antonio Quintero, Dušan Repovš (2012)

Open Mathematics

We present simple examples of finite-dimensional connected homogeneous spaces (they are actually topological manifolds) with nonhomogeneous and nonrigid factors. In particular, we give an elementary solution of an old problem in general topology concerning homogeneous spaces.

Currently displaying 1 – 2 of 2

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