# Pontryagin Dual　`def.pontryagin-dual`
English entry · root `../`
[in graph](../#n=def.pontryagin-dual)　·　[Chinese page (authoritative)](./def.pontryagin-dual.md)

> English: **name only** · auto-derived from the source data; the Chinese page is authoritative.

layer 17 · definition · cluster 拓扑阿贝尔群 (`cond.topo`) · Condensed Mathematics
names: `Pontryagin dual` (short) · `Pontryagin Dual` (full)

## Statement and proof
Chinese only — see the Chinese page `nodes/def.pontryagin-dual.md` and `proofs/`.


Cite: `def.pontryagin-dual` (content v0.9.0) · terms: [LICENSE.txt](../LICENSE.txt)