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 explain how homotopical information of two composeable relations can beorganized in two simplicial categories that augment the relations row andcolumn complexes. We show that both of these categories realize to weaklyequivalent spaces, thereby extending Dowker's duality theorem. We also prove afunctorial version of this result. Specializing the above construction abifiltration of Dowker complexes that coherently incorporates the total weightsof a relation's row and column complex into one single object is introduced.This construction is motivated by challenges in data analysis that necessitatethe simultaneous study of a data matrix rows and columns. To illustrate theapplicability of our constructions for solving those challenges we give anappropriate reconstruction result.

The bifiltration of a relation and extended Dowker duality