General topology Basic notions: open sets, neighbourhoods, bases Concept
Perfect set
Summary
A perfect set in a topological space is a closed set without isolated points. Equivalently, it equals its own derived set. In the real line, every nonempty perfect set is uncountable, and the Cantor set is the standard example.
Where this leads
2 pages build on this one.
Further reading
About this page
| Tag | 628242KN0T |
|---|---|
| URI | m2://628242KN0T |
| Kind | concept |
| Writing | W0 stub |
| MSC | 54A05, 54H05 |
| Specializes | Closed set |
| Same as | |
| Changed | 2 November 2026 |
Markdown · JSON · Edit on GitHub
What this page needs for W1
- a source with a locator (0 of 1)
The writing levels say how complete the text of a page is. They do not measure its truth.