Banca de DEFESA: MARIA CLARA LIMA MARQUES DO NASCIMENTO

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : MARIA CLARA LIMA MARQUES DO NASCIMENTO
DATE: 27/09/2022
TIME: 14:00
LOCAL: https://conferenciaweb.rnp.br/webconf/ana-810
TITLE:

Countably compact topological groups without non-trivial convergent sequences 

PAGES: 72
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

In 1980, assuming Martin’s Axiom, van Douwen constructed a countably compact Boolean group without non-trivial convergent sequences and showed (in ZFC) that such a group has two countably compact subgroups whose product is not countably compact. In the following decades, assuming additional hypotheses to ZFC, many other constructions of countably compact groups without non-trivial convergent sequences were presented, until, in 2020, Hrušák et al. obtained such a group in ZFC, solving one of the main open problems in the area. In this dissertation, we start by studying van Douwen’s work and continue exploring other constructions of countably compact groups without non-trivial convergent sequences that assume increasingly weak hypotheses, until, finally, we present the construction in ZFC.

BANKING MEMBERS:
Presidente - Interno ao Programa - 1912342 - ANA CAROLINA BOERO
Membro Titular - Examinador(a) Interno ao Programa - 2278859 - RODRIGO ROQUE DIAS
Membro Titular - Examinador(a) Externo à Instituição - IRENE CASTRO PEREIRA - UFPA
Membro Suplente - Examinador(a) Interno ao Programa - 1675735 - MARIANA RODRIGUES DA SILVEIRA
Membro Suplente - Examinador(a) Interno ao Programa - 1067113 - DAHISY VALADAO DE SOUZA LIMA
Membro Suplente - Examinador(a) Externo à Instituição - LUCIA RENATO JUNQUEIRA - USP