Root and homotopy theory, manifold topology, stratified spaces, spherical spacial ...
Orderability theory for braid groups over surfaces and for link-homotopy generaliz...
Grant number: | 16/16633-0 |
Support Opportunities: | Scholarships in Brazil - Scientific Initiation |
Effective date (Start): | October 01, 2016 |
Effective date (End): | September 30, 2017 |
Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
Principal Investigator: | Alice Kimie Miwa Libardi |
Grantee: | Cesar Augusto Domingos Barata |
Host Institution: | Instituto de Geociências e Ciências Exatas (IGCE). Universidade Estadual Paulista (UNESP). Campus de Rio Claro. Rio Claro , SP, Brazil |
Abstract The main goal of this project is to give an introduction to classical homotopic theory. For this, we will study basic concepts and techniques of algebraic topology. In this project the student will start the study with an introduction to language of category and to develop basic concepts of homotopic theory. The following topics will be studied: categories and factors, CW- complexes, pointed spaces, homotopic of maps and homotopic groups. | |
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