# something related to Alexandrov one-point compactification

The topology for $X\bigcup\{\infty\}$ is defined as follows: there are two kinds of open sets of $X\bigcup\{\infty\}$. If $\infty\notin U$, then $U$ is open if and only if $U$ is an open set in the topology of $X$. If $\infty\in U$, then $U$ is open if and only if $U$ is the complement of a closed compact subset $K$ of $X$.

Title something related to Alexandrov one-point compactification SomethingRelatedToAlexandrovOnepointCompactification 2013-03-22 17:03:54 2013-03-22 17:03:54 adrianita (17056) adrianita (17056) 4 adrianita (17056) Definition msc 54D35