Discrete sets and cardinal invariants in set-theoretic topology

• Grant number: 13/14640-1
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: February 01, 2014
• End date: January 31, 2017
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Lúcia Renato Junqueira
• Grantee: Santi Domenico Spadaro
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

The aim of this project is to gain a better insight on the influence of discrete sets on cardinal properties of topological spaces, and a better understanding of the general behavior of chain condition-type cardinal invariants. Different topological properties related todiscrete sets have been investigated recently by several mathematicians of the area (including S. Spadaro, L. F. Aurichi, L. R. Junqueira) and interesting problems remain open. In particular, the ones related to selection principles, discrete reflection and spaces generated by discrete sets will be investigated.

Scientific publications

(5)

(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)

AURICHI, L. F.; SPADARO, S.; ZDOMSKYY, L.. Selective versions of chain condition-type properties. ACTA MATHEMATICA HUNGARICA, v. 148, n. 1, p. 1-16, FEB 2016. (13/14640-1, 13/05469-7)

SPADARO, S.; SZEPTYCKI, P.. G(delta) COVERS OF COMPACT SPACES. ACTA MATHEMATICA HUNGARICA, v. 154, n. 1, p. 252-263, FEB 2018. (13/14640-1)

BELLA, ANGELO; SPADARO, SANTI. On the cardinality of almost discretely Lindelof spaces. MONATSHEFTE FUR MATHEMATIK, v. 186, n. 2, p. 345-353, JUN 2018. (13/14640-1)

SPADARO, SANTI. Infinite games and chain conditions. FUNDAMENTA MATHEMATICAE, v. 234, n. 3, p. 229-239, 2016. (13/14640-1)

SPADARO, S.. COUNTABLY COMPACT WEAKLY WHYBURN SPACES. ACTA MATHEMATICA HUNGARICA, v. 149, n. 1, p. 254-262, JUN 2016. (13/14640-1)