## 4 Citations

Convergence of measures after adding a real

- Mathematics
- 2021

We prove that if A is an infinite Boolean algebra in the ground model V and P is a notion of forcing adding any of the following reals: a Cohen real, an unsplit real, or a random real, then, in any…

An Efimov space with character less than $\mathfrak s$

- Mathematics
- 2020

It is consistent that there is a compact space of character less than the splitting number in which there are no converging sequences. Such a space is an Efimov space.

Small uncountable cardinals in large-scale topology

- Mathematics
- 2020

In this paper we are interested in finding and evaluating cardinal characteristics of the continuum that appear in large-scale topology, usually as the smallest weights of coarse structures that…

## References

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Ultrafilters with small generating sets

- Mathematics
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It is consistent, relative to ZFC, that the minimum number of subsets ofω generating a non-principal ultrafilter is strictly smaller than the dominating number. In fact, these two numbers can be any…

COMPACT SETS WITHOUT CONVERGING SEQUENCES IN THE RANDOM REAL MODEL

- Mathematics
- 2000

It is shown that in the model obtained by adding any number of random reals to a model of CH, there is a compact Hausdor space of weight !1 which contains no non-trivial converging sequences. It is…

Accessible and Biaccessible Points in Contrasequential Spaces a

- Mathematics
- 1993

ABSTRACT. Two countable spaces having no nontrivial convergent sequences are constructed. One space has every point biaccessible (by a countable discrete set), and the other has every point…

THE COINITIALITY OF A COMPACT SPACE

- Mathematics
- 2005

This article deals with the coinitiality of topological spaces, a concept that generalizes the conality of a Boolean algebra as introduced by Koppelberg (7). The compact spaces of countable…

Combinatorial Cardinal Characteristics of the Continuum

- Mathematics
- 2010

The combinatorial study of subsets of the set N of natural numbers and of functions from N to N leads to numerous cardinal numbers, uncountable but no larger than the continuum. For example, how many…

EFIMOV SPACES AND THE SPLITTING NUMBER

- Mathematics
- 2005

An Efimov space is a compact space which contains neither a nontrivial converging sequence nor a copy of the Stone-Cech compactification of the integers. We give a new construction of a space which…

On the Existence of Large p-Ideals

- MathematicsJ. Symb. Log.
- 1990

We prove the existence of p -ideals that are nonmeagre subsets of ( ω ) under various set-theoretic assumptions.