The γ-borel conjecture

By A. W. Miller. 2003

51 citations recorded by the source corpus.

Abstract.In this paper we prove that it is consistent that every γ-set is countable while not every strong measure zero set is countable. We also show that it is consistent that every strong γ-set is countable while not every γ-set is countable. On the other hand we show that every strong measure zero set is countable iff every set with the Rothberger property is countable.

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

View Paper: https://www.semanticscholar.org/paper/ac80ac0133a15971d31bdb4df2fe5a3ed906868f

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. W. Lück
4. H. Reich
5. M. Kreck
6. Boaz Tsaban
7. L. Kočinac

In Geometry and Topology

1. H. Reich
2. W. Lück
3. Franklin D. Tall
4. Marion Scheepers
5. M. Kreck
6. Arthur Bartels
7. Christian Wegner
8. Hanfeng Li

In Mathematical Physics

1. W. Lück
2. H. Reich
3. M. Kreck
4. Arthur Bartels
5. Marion Scheepers
6. Franklin D. Tall
7. Christian Wegner
8. Hanfeng Li

Citations in the corpus

• The Baum-Connes and the Farrell-Jones Conjectures in K- and L-Theory (2004, background): “For more information about the Novikov Conjectures we refer for instance to [38, 52, 55, 81, 120, 127, 179, 258] and [269].”
• Topological rigidity for non-aspherical manifolds (2005, background): “More information on the Borel Conjecture can be found for instance in [9], [10], [11], [12], [14], [15], [16], [24], [26], [27].”
• Lindelöf indestructibility, topological games and selection principles (2009, methodology): “But by a result of Judah, Shelah and Woodin [25] if the ground model is Laver’s model, then subsequent forcing with B(κ) introduces no uncountable metrizable Rothberger spaces.”