|
|
|
|
specialization
|
(Definition)
|
|
|
Let $X$ be a topological space and suppose that $x\in X$ Any point $y\in \overline{\{{x}\}}$ is called a <</SPAN>#44#>specialization point of $x$ and we write $x\rightsquigarrow y$
For $Y\subset X$ the set $$\mathrm{Sp}(Y):=\{x\in X : \exists\, y\in Y\, y\in\overline{\{{x}\}} \}$$ is called the specialization of $Y$
|
Anyone with an account can edit this entry. Please help improve it!
"specialization" is owned by jocaps.
|
|
(view preamble | get metadata)
Cross-references: point, topological space
There are 2 references to this entry.
This is version 4 of specialization, born on 2006-11-04, modified 2006-11-04.
Object id is 8516, canonical name is Specialization.
Accessed 1141 times total.
Classification:
| AMS MSC: | 54A05 (General topology :: Generalities :: Topological spaces and generalizations ) |
|
|
|
|
|
|
Pending Errata and Addenda
|
|
|
|
|
|
|
|
|
|
|
