#### Filter Results:

- Full text PDF available (3)

#### Publication Year

2006

2010

- This year (0)
- Last 5 years (0)
- Last 10 years (2)

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

- Isaac Gorelic
- Ann. Pure Appl. Logic
- 2006

- Isaac Gorelic
- 2010

We present a forcing construction of a Hausdorff zero-dimensional Lindelöf space X whose square X 2 is again Lindelöf but its cube X 3 has a closed discrete sub-space of size c + , hence the Lindelöf degree L(X 3) = c +. In our model the Continuum Hypothesis holds true. After that we give a description of a forcing notion to get a space X such that L(X n) =… (More)

A topological space X is called weakly first countable, if for every point x there is a countable family {C x n | n ∈ ω} such that x ∈ C x n+1 ⊆ C x n and such that U ⊂ X is open iff for each x ∈ U some C x n is contained in U. This weakening of first count-ability is due to A. V. Arhangelskii from 1966, who asked whether compact weakly first countable… (More)

- ISAAC GORELIC
- 2008

We extend the scope of B. Shapirovskii's results [6] on the order of π-bases in compact spaces and answer some questions of V. Tkachuk in [7].

- ‹
- 1
- ›