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Autor:
Elisabeth Burroni, Jacques Penon
Publikováno v:
Journal of Pure and Applied Algebra. 216(8-9):1748-1756
A metric jet can be linear without being the metric jet of a continuous linear map. We begin with giving such an amazing example and then we get interested in tangentiable maps whose tangent jet at a point is precisely a linear metric jet. For such m
Autor:
Jacques Penon, Eduardo J. Dubuc
Publikováno v:
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics. 40:203-217
It is well known that compact topological spaces are those space K for which given any point x0 in any topological space X, and a neighborhood H of the fibre -1 {x0} KXX, then there exists a neighborhood U of x0 such that -1UH. If now is an object in