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

We study the topology of singularities of $c$-optimal semicouplings inunequal dimension. Our main results describe homotopy-reductions from a sourcespace $(X,\sigma)$ onto the singularities $Z_j$, $j\geq 0$ of $c$-optimalsemicouplings whenever $(Y, \tau)$ is a Riemannian target space and $c$ is acost on $X\times Y$ satisfying some general assumptions (A0)--(A5). Weconstruct continuous strong deformation retracts $X\leadsto Z_j$ whenever acondition called Uniform Halfspace (UHS) condition is satisfied alongappropriate subsets. This article summarizes some results from the author's PhDthesis (2019).

Topology of Singularities of Optimal Semicouplings