TY - JOUR AU - Aponte, Jesus AU - Carrasco-Olivera, Dante AU - Lee, Keonhee AU - Morales, Carlos PY - 2020/05/30 Y2 - 2024/03/28 TI - Some generalizations of distality JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 55 IS - 2 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2019.100 SP - 533 - 552 AB - We incorporate the notion of a distal system into the continuum theory \cite{n} through the notion of the {\em continuum-wise distal homeomorphism}. Results concerning distal homeomorphisms will be generalized to the case of cw-distal homeomorphisms. Notions of cw-distality for measures will be studied. We also analyze the variation of distality for flows obtained by making the proximal cell \cite{aus} to depend on a given subset of the full set of reparametrizations. Some properties of these reparametrized distality will be obtained. ER -