A definitive improvement of a game-theoretic bound and the long tightness game

Autor(es)

Aurichi, L. F. ^[1] ; Bella, A. ^[2]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil

^[2] Univ Catania, Dipartimento Matemat & Informat, Citta Univ, Viale A Doria 6, I-95125 Catania - Italy

• Tipo de documento: Artigo Científico
• Fonte: ACTA MATHEMATICA HUNGARICA; v. 155, n. 2, p. 458-465, AUG 2018.
• Citações Web of Science: 0

Resumo

The main goal of the paper is the full proof of a cardinal inequality for a space with points , obtained with the help of a long version of the Menger game. This result, which improves a similar one of Scheepers and Tall, was already established by the authors under the Continuum Hypothesis. The paper is completed by few remarks on a long version of the tightness game. (AU)

• Processo FAPESP: 17/09252-3 - Combinatória infinita e hiperespaços em topologia geral
• Beneficiário: Leandro Fiorini Aurichi
• Modalidade de apoio: Auxílio à Pesquisa - Regular