1 4 ▁Hong ▁Kong ▁television ▁series ▁end ings ▁Category : 2 0 1 0 s ▁Hong ▁Kong ▁television ▁series <0x0A> </s> ▁In ▁mathematics , ▁a ▁rec urrent ▁point ▁for ▁a ▁function ▁f ▁is ▁a ▁point ▁that ▁is ▁in ▁its ▁own ▁limit ▁set ▁by ▁f . ▁Any ▁neighborhood ▁containing ▁the ▁rec urrent ▁point ▁will ▁also ▁contain ▁( a ▁count able ▁number ▁of ) ▁iter ates ▁of ▁it ▁as ▁well . ▁ ▁Definition ▁Let ▁ ▁be ▁a ▁Haus dor ff ▁space ▁and ▁▁ ▁a ▁function . ▁A ▁point ▁ ▁is ▁said ▁to ▁be ▁rec urrent ▁( for ▁) ▁if ▁ ▁, ▁i . e . ▁if ▁ ▁belongs ▁to ▁its ▁- limit ▁set . ▁This ▁means ▁that ▁for ▁each ▁neighborhood ▁ ▁of ▁ ▁there ▁exists ▁ ▁such ▁that ▁ ▁. ▁ ▁The ▁set ▁of ▁rec urrent ▁points ▁of ▁ ▁is ▁often ▁denoted ▁ ▁and ▁is ▁called ▁the ▁rec urrent ▁set ▁of ▁. ▁Its ▁closure ▁is ▁called ▁the ▁B irk hoff ▁center ▁of ▁, ▁and ▁appears ▁in ▁the ▁work ▁of ▁George ▁David ▁B irk hoff ▁on ▁dynam ical ▁systems . ▁ ▁Every ▁rec urrent ▁point ▁is ▁a ▁non wand ering ▁point , ▁hence ▁if ▁ ▁is ▁a ▁home omorphism ▁and ▁ ▁is ▁compact , ▁then ▁ ▁is ▁an ▁invariant ▁subset ▁of ▁the ▁non - wand ering ▁set ▁of ▁ ▁( and ▁may ▁be ▁a ▁proper ▁subset ). ▁ ▁References ▁ ▁Category : Limit ▁sets <0x0A> </s> ▁" C ult ▁of ▁Person ality " ▁is ▁a ▁song ▁by ▁rock ▁band ▁Living ▁Col our . ▁It ▁is ▁the