Equivalência assintótica forte e fraca de germes de funções semi-algébricas contínuas na origem e no infinito
In this work we present the notions ofweak and strong asymptotic equivalences at the origin and at infinity for germs os semi-algebraic and continuous functions in the real punctured plane. We show that such equivalences are completely determined and characterizad by an adapted finite combinatorial...
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| Tipo de recurso: | tesis doctoral |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | Brasil |
| Institución: | Universidade Federal do Ceará (UFC) |
| Repositorio: | Repositório Institucional da Universidade Federal do Ceará (UFC) |
| Idioma: | portugués |
| OAI Identifier: | oai:repositorio.ufc.br:riufc/68390 |
| Acceso en línea: | http://www.repositorio.ufc.br/handle/riufc/68390 |
| Access Level: | acceso abierto |
| Palabra clave: | Funções semi-algébricas Teorema de preparação Complexo de Holder Pizzas e pizzas minimais Equivalências assintóticas Homeomorfismo bi-Lipschitz Semi-algebraic functions Preparation Theorem Pizzas and Minimal Pizzas Asymptotic equivalence bi-Lipschitz homeomorphims Hölder complex |
| Sumario: | In this work we present the notions ofweak and strong asymptotic equivalences at the origin and at infinity for germs os semi-algebraic and continuous functions in the real punctured plane. We show that such equivalences are completely determined and characterizad by an adapted finite combinatorial object, called minimal pizza associated with the corresponding germ of considered function. |
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