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A nonstandard characterization of regular surfaces. (English) Zbl 1130.26025

Summary: In the present work we approach the study of surfaces using nonstandard analysis, by providing first a nonstandard characterization of a surface. Further, the tangent space to a surface is defined as well.

MSC:

26E35 Nonstandard analysis
53A05 Surfaces in Euclidean and related spaces
53A07 Higher-dimensional and -codimensional surfaces in Euclidean and related \(n\)-spaces
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