'PSI' estabilidade

'PSI' estabilidade (1981)

Authors:
- Mendes, Claudio Martins
- Favaro, Luiz Antonio (Orientador)
Autor USP: MENDES, CLAUDIO MARTINS - ICMC
Unidade: ICMC
Sigla do Departamento: SMA
Assunto: SINGULARIDADES
Agências de fomento:
Language: Português
Abstract: This work is concerned to study a kind of stability for mappings f : M → N, preserving the stratification defined by ψ : M → Q, which we call ψ-stability. We say that f,g : M → N are ψ-equivalents if there are diffeomorphisms h : M → M and k : N x Q → N x Q, which k(y,q) = (k1(y,q),k2(q)), such that (g,ψ) = k0(f,ψ)0h. And f is ψ-stable, if for all g sufficient near to f (in the Whitney's topology), follows that g and f are ψ-equivalents. If M ande N are compact and ψ: M → Q stable, the above definition is equivalent to the stability of the diagram M (f, ψ) > N x Q π > Q; also locally those concepts agree. The main objective is to characterize the ψ-stability when N is not compact, in particular to study RP < ψ f > Rn, M compact, which deep results on R < ψ M f > R, R < ψ M f > R2 < ψ M f > R. Finally, local forms are given in the cases R, 0 < ψ Rn, 0 f > R, 0 R2,0 < ψ R2, 0 f > R, 0, R, 0 < ψ R2, 0 f > R2, 0 and R, 0 < f Rn, 0 g > Rn, 0 R, 0.
Imprenta:
- Publisher place: São Carlos
- Date published: 1981
Data da defesa: 11.12.1981

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ABNT

MENDES, Claudio Martins. 'PSI' estabilidade. 1981. Tese (Doutorado) – Universidade de São Paulo, São Carlos, 1981. . Acesso em: 16 abr. 2024.
APA

Mendes, C. M. (1981). 'PSI' estabilidade (Tese (Doutorado). Universidade de São Paulo, São Carlos.
NLM

Mendes CM. 'PSI' estabilidade. 1981 ;[citado 2024 abr. 16 ]
Vancouver

Mendes CM. 'PSI' estabilidade. 1981 ;[citado 2024 abr. 16 ]