Construct · 1 fields · 1 citations

Borsuk-Ulam theorem: a standalone construct

One name. One construct. A landmark on the map.

● anchor · a standalone construct Nearest construct by meaning·not indexed

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Topology

the result that every continuous map from the n-sphere to n-dimensional space sends some pair of opposite points to the same value.

In topology, Borsuk-Ulam theorem refers to the result that every continuous map from the n-sphere to n-dimensional space sends some pair of opposite points to the same value. This meaning comes from Borsuk (1933) in Fundamenta Mathematicae.[1]

Unit
Recovery means
Measured by

Run it through the Collider, or take the citations with you.

See how Borsuk-Ulam theorem sits against neighbouring constructs in the Collider, or export every reference on this page in one click.

Open in Collider Export BibTeX Report this entry

Nearby constructs

topology4 fields · 6 citationsjingle · one word, four constructs value6 fields · 12 citationsjingle · one name, six constructs

References

Borsuk, K. (1933). Drei Sätze über die n-dimensionale euklidische Sphäre. Fundamenta Mathematicae, 20, 177-190. https://doi.org/10.4064/fm-20-1-177-190

Cited on this page?

Confirm your construct, or correct us.

If your work is cited behind one of these entries, you know better than we do whether we captured the meaning right. Confirm it, suggest an edit, or dispute it, and your name goes on the entry as an author who has checked it, linked to your ORCID.

Claim your construct