The fundamental group, covering spaces and applications

• Grant number: 23/09920-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2023
• End date: February 28, 2025
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Edivaldo Lopes dos Santos
• Grantee: Victorio Amadeo Cremasco
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

The objective of this research project is to approach some concepts, techniques and applications of Algebraic Topology. Firstly, some topics in general topology will be studied, which are prerequisites for the subsequent development of the fundamental group, covering spaces, classification of covering spaces and applications.