Strange constructions in R^n

• Grant number: 19/13837-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: September 01, 2019
• End date: August 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Leandro Fiorini Aurichi
• Grantee: Thales Sarinho Galvão Santos de Souza
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

Constructions of "strange" subspaces on the line (or R ^ n) have several applications: an immediate one is the existence in itself of subspaces, often serving as counterexample; a second application is the form of construction - it is often necessary to develop a whole technique for the construction of the subspace. This project addresses these two aspects in the construction of various subspaces, as well as constructions of objects that are not subspaces (for example, compactifications).