Definition:Omega-Accumulation Point
Definition
Let $T = \left({S, \tau}\right)$ be a topological space.
Let $A \subseteq S$.
An $\omega$-accumulation point of $A$ is a limit point $x$ of $A$ such that every open set containing $x$ also contains an infinite number of points of $A$.
Also see
- Results about $\omega$-accumulation points can be found here.
Sources
- 1970: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology ... (previous) ... (next): $\text{I}: \ \S 1$: Limit Points