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Complements of discriminants of real boundary singularities

2022/07/21 by M. A. Gudiev, Gudiev, M. A.
Mathematics · #Advanced Banach Space Theory #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematical Dynamics and Fractals #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2207.10518

openalex publication_date 2022/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the topology of the complements of discriminants of simple real boundary singularities by counting the connected components of these sets and assigning to them certain topological characteristics. Results of this paper serve as a generalization of those recently acquired by Vassiliev arXiv:2109.12287 for ordinary function singularities.

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