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Some fundamental problems on real-analytic sets

1997/11/04 by Tohsuke Urabe, Urabe, Tohsuke
Computer Science · Engineering · Mathematics · #Aerospace Engineering and Control Systems #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematical Control Systems and Analysis #Optimization and Variational Analysis #alg-geom #math.AG

paper · pdf · doi:10.48550/arxiv.alg-geom/9711005

2 pages, LaTeX2e+AmsLaTeX. To appear in the proceedings of "Singularities and related subjects" (September 1997, Changchun, China). The same article available also at http://urabe-lab.math.metro-u.ac.jp/PreprintListE.html. This paper has been withdrawn by the author

openalex publication_date 1997/11/04 · arxiv created 2010/06/18 · arxiv updated 2010/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The category of real-analytic sets and real-analytic maps is the most important category in application. However, in spite of efforts by F. Bruhat, H. Cartan, H. Whitney et al., the basic theory of real-analytic category does not yet seem to be well-developed. In this article I would like to point out several basic problems.

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