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 Plus annual

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

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We prove new upper bounds on homotopy and homology groups of o‐minimal sets in terms of their approximations by compact o‐minimal sets. In particular, we improve the known upper bounds on Betti numbers of semialgebraic sets defined by quantifier‐free formulae and obtain, for the first time, a singly exponential bound on Betti numbers of sub‐Pfaffian sets.

Approximation of definable sets by compact families, and upper bounds on homotopy and homology