On the instability of a topological game related to consonance

  title={On the instability of a topological game related to consonance},
  author={Francis Jordan},
  journal={Topology and its Applications},
  • F. Jordan
  • Published 15 February 2020
  • Mathematics, Physics
  • Topology and its Applications
2 Citations

Complements of consonant spaces in complete spaces

  • F. Jordan
  • Mathematics
    Topology and its Applications
  • 2022



Topological Games and Alster Spaces

Abstract In this paper we study connections between topological games such as Rothberger, Menger, and compact-open games, and we relate these games to properties involving covers by ${{G}_{\delta }}$

Undetermined sets of point-open games

We show that a set of reals is undetermined in Galvin’s point-open game iff it is uncountable and has property C′′, which answers a question of Gruenhage. Let X be a topological space. The point-open

When do the upper Kuratowski topology (homeomorphically, Scott topology) and the co-compact topology coincide?

A topology is called consonant if the corresponding upper Kuratowski topology on closed sets coincides with the co-compact topology, equivalently if each Scott open set is compactly generated. It is

Set theory - an introduction to independence proofs

  • K. Kunen
  • Mathematics
    Studies in logic and the foundations of mathematics
  • 1983
The Foundations of Set Theory and Infinitary Combinatorics are presented, followed by a discussion of easy Consistency Proofs and Defining Definability.

Set Theory: On the Structure of the Real Line

This research level monograph reflects the current state of the field and provides a reference for graduate students entering the field as well as for established researchers.

A Compendium of Continuous Lattices

O. A Primer of Complete Lattices.- 1. Generalities and notation.- 2. Complete lattices.- 3. Galois connections.- 4. Meet-continuous lattices.- I. Lattice Theory of Continuous Lattices.- 1. The