On locally LC-spaces
  A topological space $(X,\tau)$ is called a locally LC-space if every point of $X$ has a neighborhood $U$ such that every Lindel\"{o}f subset of $(U,\tau|U)$ is a closed subset of $(U,\tau|U)$. The aim of this paper is to continue the study of locally LC-spaces. 
Julian Dontchev, Maximilian Ganster and Alev Kanibir