English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

We show that certain type of tree forcings, including Sacks forcing,increases the covering of the strong measure zero ideal $\mathcal{SN}$. As aconsequence, in Sacks model, such covering number is equal to the size of thecontinuum, which indicates that this covering number is consistently largerthan any other classical cardinal invariant of the continuum. Even more, Sacksforcing can be used to force that$\mathrm{non}(\mathcal{SN})<\mathrm{cov}(\mathcal{SN})<\mathrm{cof}(\mathcal{SN})$,which is the first consistency result where more than two cardinal invariantsassociated with $\mathcal{SN}$ are pairwise different. Another consequence isthat $\mathcal{SN}\subseteq s^0$ in ZFC where $s^0$ denotes the Marczewski'sideal.

The covering number of the strong measure zero ideal can be above almost everything else