## 3 Citations

### Guessing genericity -- looking at parametrized diamonds from a different perspective

- Mathematics
- 2023

We introduce and study a family of axioms that closely follows the pattern of parametrized diamonds, studied by Moore, Hru\v{s}\'ak, and D\v{z}amonja in [13]. However, our approach appeals to model…

### On the ideal $J[\kappa]$

- Mathematics
- 2021

Motivated by a question from a recent paper by Gilton, Levine and Stejskalová, we obtain a new characterization of the ideal J [κ], from which we confirm that κ-Souslin trees exist in various models…

### A new small Dowker space

- Mathematics
- 2022

It is proved that if there exists a Luzin set, or if either | • or ♦(b) hold, then a strong instance of the guessing principle ♣AD holds at the first uncountable cardinal. In particular, any of the…

## References

SHOWING 1-10 OF 66 REFERENCES

### A microscopic approach to Souslin-tree construction, Part II

- Computer ScienceAnn. Pure Appl. Log.
- 2021

### A microscopic approach to Souslin-tree constructions, Part I

- Computer ScienceAnn. Pure Appl. Log.
- 2017

### Two More Hereditarily Separable Non-Lindelöf Spaces

- MathematicsCanadian Journal of Mathematics
- 1976

Our method using CH is a blend of two earlier constructions (Hajnal-Juhász [2] and Ostaszewski [4]) of hereditarily separable (HS), regular, non-Lindelöf, first countable spaces. [4] produces a much…

### On countably paracompact spaces

- Mathematics
- 1955

. A topological space X is countably paracompact if and only if X satisﬁes the condition (A): For any decreasing sequence { F i } of non-empty closed sets with (cid:31) ∞ i =1 F i = ∅ there exists a…

### Forcing positive partition relations

- Mathematics
- 1983

We show how to force two strong positive partition relations on u, and use them in considering several well-known open problems. In [32] Sierpiñski proved that the well-known Ramsey Theorem [27] does…

### Proper and Improper Forcing

- Economics
- 1998

This work deals with set-theoretic independence results (independence from the usual set-theoretic ZFC axioms), in particular for problems on the continuum. Consequently, the theory of iterated…

### The Souslin problem

- Physics
- 1974

Preliminaries.- Souslin's hypothesis.- The combinatorial property ?.- Homogeneous souslin trees and lines.- Rigid souslin trees and lines.- Martin's axiom and the consistency of SH.- Towards…

### Countably Compact Spaces and Martin's Axiom

- MathematicsCanadian Journal of Mathematics
- 1978

The relationship between compact and countably compact topological spaces has been studied by many topologists. In particular an important question is: “What conditions will make a countably compact…

### A normal space X for which X×I is not normal

- Mathematics
- 1971

In [l ] C. Dowker gave a number of interesting characterizations of normal Hausdorff spaces whose cartesian product with the closed unit interval is not normal. Thus, such a space is often called a…