Banca de DEFESA: ALEXSSANDRA THAIS PEREIRA ALVES DE SOUZA

Uma banca de DEFESA de MESTRADO foi cadastrada pelo programa.
STUDENT : ALEXSSANDRA THAIS PEREIRA ALVES DE SOUZA
Date: 22/05/2026
TIME: 09:30
LOCAL: Sala 406 do Bloco B do Campus de Santo André da Universidade Federal do ABC
TITLE:

Small Cardinals and Topological Games

PAGES: 106
BIG AREA: Ciências Exatas e da Terra
AREA: Matemática
SUMMARY:

This dissertation investigates the relation between small cardinals (such as b, d, and cov(M)) and topological games. Chapter 1 studies these cardinals defined on ω^ω, their relations, and combinatorial characterizations. Chapter 2 introduces the topological games point-open, Rothberger, and Menger game, proving the duality between the first two and characterizing Rothberger spaces by the non-existence of a winning strategy for Alice. Chapter 3 extends the games to ordinal lengths greater than ω, defining the point-open type ordinal pot(X) and establishing bounds related to this cardinal function.

COMMITTEE MEMBERS:
Presidente - Interno ao Programa - 2278859 - RODRIGO ROQUE DIAS
Membro Titular - Examinador(a) Externo ao Programa - 1912342 - ANA CAROLINA BOERO
Membro Titular - Examinador(a) Externo à Instituição - LUCIA RENATO JUNQUEIRA - USP
Membro Suplente - Examinador(a) Interno ao Programa - 3389558 - VINICIUS COLFERAI CORREA MIRANDA
Membro Suplente - Examinador(a) Externo à Instituição - SAMUEL GOMES DA SILVA - UFBA