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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).

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