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

In this paper, we have proved that for each cardinal number $\lambda$ suchthat $\lambda=\lambda^{\aleph_0}$ a metric space of weight $\lambda$ admits abijective continuous mapping onto a Banach space of weight $\lambda$. Then, weget that every metric space of weight continuum admits a bijective continuousmapping onto the Hilbert cube. This resolves the famous Banach's Problem (whendoes a metric (possibly Banach) space $X$ admit a bijective continuous mappingonto a compact metric space?) in the class of metric spaces of weightcontinuum. Also we get that every metric space of weight$\lambda=\lambda^{\aleph_0}$ admits a bijective continuous mapping onto aHausdorff compact space. This resolves the Alexandroff Problem (when does aHausdorff space $X$ admit a bijective continuous mapping onto a Hausdorffcompact space?) in the class of metric spaces of weight$\lambda=\lambda^{\aleph_0}$.

Every metric space of weight $\lambda=\lambda^{\aleph_0}$ admits a condensation onto a Banach space