We give an example of a complete locally convex m-topology on the algebra of infinite differentiable functions on [0, 1] which is strictly coarser than the natural Frechet-topology but finer than the topology of pointwise convergence. A similar construction works on the algebra of continuous functions on [0, 1]. Using this examples we can separate different notions of diffotopy and homotopy.
|Number of pages||4|
|Journal||Bulletin of the Belgian Mathematical Society|
|Publication status||Published - Jul 2007|
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