General topology Compactifications Concept
One-point compactification
Summary
The one-point compactification of a topological space adds one point at infinity and makes the space compact. For example, the plane with one added point is the sphere.
Where this leads
2 pages build on this one.
Further reading
- Web https://en.wikipedia.org/wiki/Alexandroff_extension, lead section
About this page
| Tag | 0GWN3CMRK8 |
|---|---|
| URI | m2://0GWN3CMRK8 |
| Aliases | alexandroff-extension, alexandroff-compactification |
| Kind | concept |
| Writing | W1 stated |
| MSC | 54D35 |
| Same as |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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