Lúcia Renato Junqueira

• 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 Ala…

  Properties involving discrete subspaces and special types of pseudocompactness, AV.EXT

• Abstract

  The main topic of the research project is to study maximal-P spaces (where P is a fixed property related to compactness). In particular, P=countably compact will be analised more carefully. In the research project 13 problems are proposed, but several others can also be considered. It will also be investigated questions related to products of the form XxY and sequencially continuous funct…

  Maximal compact-like properties, AV.EXT
• Brazilian Conference on General Topology and Set Theory - STW 2013, AO.R

(Only some records are available in English at this moment)

• Abstract

  The topic proposed in this project is about generalizations of compactness in topological spaces with the goal of developing aspects in the area of set theory, as for instance small cardinals and infinite combinatorics. Another goal is to understand examples and study recent results obtained in this area. The main properties that will be studied are, among others,sequential compactness, c…

  Generalizations of compactness, BP.MS

• 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. Aurich…

  Discrete sets and cardinal invariants in set-theoretic topology, BP.PD