Properties involving discrete subspaces and special types of pseudocompactness

• Grant number: 18/02980-6
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: August 01, 2018
• End date: August 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Lúcia Renato Junqueira
• Grantee: Lúcia Renato Junqueira
• Visiting researcher: Richard Gordon Wilson Roberts
• Visiting researcher institution: Universidad Autónoma Metropolitana, Iztapalapa (UAM Iztapalapa), Mexico
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The project has two main topics. The first one is to investigate properties related to discrete sets and the Lindelof property or separability. These properties have similarities with hereditarily Lindelof and hereditarily separable spaces, important topics of research in the area. This work is a continuation of the research work done in September 2017 during the visit of Profs Ofelia Alas and Lucia Junqueira to Prof. Richard Wilson. Several interesting problems are still open and they will be investigated. The other topic involves special types of pseudocompactness. This work is also a continuation of a research done by Prof. Ofelia T. Alas and Prof. Richard G. Wilson in an article submitted recently for publication. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ALAS, OFELIA T.; JUNQUEIRA, LUCIA R.; WILSON, RICHARD G.. On linearly H-closed spaces. Topology and its Applications, v. 258, p. 161-171, MAY 15 2019. (18/02980-6)