| Grant number: | 11/21268-6 |
| Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
| Effective date (Start): | February 01, 2012 |
| Effective date (End): | December 31, 2013 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Maria Gorete Carreira Andrade |
| Grantee: | Jéssica Cristina Rossinati Rodrigues da Costa |
| Host Institution: | Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil |
Abstract The present project is an introduction to algebraic topology with the study of some topics in homotopy theory, specifically the study of the fundamental group of a topological space X. Will be seen among other topics: definition, main properties and examples of the fundamental group, the fundamental group as a homotopic invariant, and some examples of calculation of the fundamental group of the union of two spaces. The topics will be developed in a formal way, always looking for a geometric approach, making the student feel the connection between large areas (Algebra and Topology) which we consider very important and beneficial to their training.(AU) | |
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