Topologically Principal Part of Analytic Functions

DOI10.2307/2001409zbMath0685.58005OpenAlexW4252422651MaRDI QIDQ4735799

Etsuo Yoshinaga

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2001409

zbMATH Keywords

analytic functiontopological trivialitytopologically principal part

Mathematics Subject Classification ID

Catastrophe theory (58K35) Isotopy in differential topology (57R52)

Related Items (8)

The special closure of polynomial maps and global non-degeneracy ⋮ Nondegenerate ideals in formal power series rings ⋮ Some oscillatory integral estimates via real analysis ⋮ Growth at infinity and index of polynomial maps ⋮ Generic linear sections of complex hypersurfaces and monomial ideals ⋮ On the effective computation of Łojasiewicz exponents via Newton polyhedra ⋮ The Łojasiewicz exponent of nondegenerate surface singularities ⋮ Finite determinacy of non-isolated singularities

Cites Work

• The stratum with constant Milnor number of a mini-transversal family of a quasihomogeneous function of corank two
• The modified analytic trivialization of real analytic families via blowing-ups
• Newton polyhedra and estimation of oscillating integrals
• The modified analytic trivialization of family of real analytic functions
• On \(C^0\)-sufficiency of jets of potential functions
• On C⁰-Sufficiency of Complex Jets

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