A semifilter approach to selection principles

By Lubomyr Zdomsky. 2004

52 citations recorded by the source corpus.

We develop the semifilter approach to the classical Menger and Hurewicz covering properties and show that the small cardinal g is a lower bound of the additivity number of the family of Menger subspaces of the Baire space, and under u< g every subset X of the real line with the property Split(Lambda,Lambda) is Hurewicz.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f502fe729cc8a1abccc99aa01e5a97e0eabf8a2a

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Franklin D. Tall
2. Marion Scheepers
3. Boaz Tsaban
4. L. Kočinac

In Geometry and Topology

1. Franklin D. Tall
2. Marion Scheepers
3. L. Kočinac
4. Boaz Tsaban
5. Giuseppe Di Maio

In Mathematical Physics

1. Marion Scheepers
2. Franklin D. Tall
3. L. Kočinac
4. Boaz Tsaban
5. Giuseppe Di Maio

Citations in the corpus

• Lindelöf indestructibility, topological games and selection principles (2009, background): “Zdomskyy [59] (Theorem 5) proved that it is consistent, relative to the consistency of ZFC, that for regular Lindelöf spaces the Rothberger property is equivalent to the Gerlits-Nagy property(6).”