Sobre característica de Euler, links e conjuntos semi-algébricos
Our goal on this work is to show a proof of Sullivan’s Theorem, who say that Euler characteristic of link on an algebraic set at any point is even. On the process we will study semi-algebraic geometry, algebraic geometry, algebra and topology and introduce a notion that extends the definition of Eul...
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| Format: | master thesis |
| Status: | Published version |
| Publication Date: | 2020 |
| Country: | Brasil |
| Institution: | Universidade Federal do Ceará (UFC) |
| Repository: | Repositório Institucional da Universidade Federal do Ceará (UFC) |
| Language: | Portuguese |
| OAI Identifier: | oai:repositorio.ufc.br:riufc/66713 |
| Online Access: | http://www.repositorio.ufc.br/handle/riufc/66713 |
| Access Level: | Open access |
| Keyword: | Teorema de Sullivan Sullivan's Theorem Geometria Algébrica Algebraic Geometry Característica de Euler Euler's characteristic |
| Summary: | Our goal on this work is to show a proof of Sullivan’s Theorem, who say that Euler characteristic of link on an algebraic set at any point is even. On the process we will study semi-algebraic geometry, algebraic geometry, algebra and topology and introduce a notion that extends the definition of Euler characteristic to semi-algebraic sets, so we will define Euler sets and culminate that every algebraic set is an Euler set. |
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