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/

Global: Zendy Tools annual

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

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

Let      R \mathscr {R}       be an      N I P \mathrm {NIP}       expansion of      ( R , &gt; , + ) (\mathbb {R},&gt;,+)       by closed subsets of      R n \mathbb {R}^n       and continuous functions      f : R m →  R n f : \mathbb {R}^m \to \mathbb {R}^n      . Then      R \mathscr {R}       is generically locally o-minimal. This follows from a more general theorem on      N I P \mathrm {NIP}       expansions of locally compact groups, which itself follows from a result on quotients of definable sets in      ℵ  1 \aleph _1      -saturated      N I P \mathrm {NIP}       structures by equivalence relations which are both externally definable and      ⋀  \bigwedge      -definable. We also show that      R \mathscr {R}       is strongly dependent if and only if      R \mathscr {R}       is either o-minimal or      ( R , &gt; , + , α  Z ) (\mathbb {R},&gt;,+,\alpha \mathbb {Z})      -minimal for some      α  &gt; 0 \alpha &gt; 0      .

Externally definable quotients and NIP expansions of the real ordered additive group