Resumen de k-semistratifiable spaces and expansions of set-valued mappings

Peng-Fei Yan, Xing-Yu Hu, Li-Hong Xie

• In this paper, the concept of k-upper semi-continuous set-valued mappings is introduced. Using this concept, we give characterizations of k-semistratifiable and k-MCM spaces, which answers a question posed by Xie and Yan.