F-equicontinuity and an Analogue of Auslander-Yorke Dichotomy Theorem

Hyonhui Ju, Jinhyon Kim, Songhun Ri +1

In this paper, we introduce an $\mathcal{F}$-equi\-con\-ti\-nui\-ty and show an analogue of Auslander-Yorke dichotomy theorem for $\mathcal{F}$-sensitivity. Precisely, under the…