New topologies on Colombeau generalized numbers and the Fermat–Reyes theorem
نویسندگان
چکیده
منابع مشابه
New Topologies on Colombeau Generalized Numbers and the Fermat-reyes Theorem
Based on the theory of Fermat reals we introduce new topologies on spaces of Colombeau generalized points and derive some of their fundamental properties. In particular, we obtain metric topologies on the space of near-standard generalized points that induce the standard Euclidean topology on the reals. We also give a new description of the sharp topology in terms of the natural extension of th...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2013
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2012.10.005