▁t ame ▁Fr éch et ▁space ▁is ▁one ▁which ▁is ▁almost ▁a ▁Ban ach ▁space . ▁ ▁On ▁t ame ▁spaces , ▁it ▁is ▁possible ▁to ▁define ▁a ▁preferred ▁class ▁of ▁ma ppings , ▁known ▁as ▁t ame ▁maps . ▁ ▁On ▁the ▁category ▁of ▁t ame ▁spaces ▁under ▁t ame ▁maps , ▁the ▁underlying ▁topology ▁is ▁strong ▁enough ▁to ▁support ▁a ▁fully ▁fled ged ▁theory ▁of ▁differential ▁topology . ▁ ▁Within ▁this ▁context , ▁many ▁more ▁techniques ▁from ▁calculus ▁hold . ▁ ▁In ▁particular , ▁there ▁are ▁versions ▁of ▁the ▁inverse ▁and ▁implicit ▁function ▁the or ems . ▁ ▁References ▁▁▁ ▁Category : D iffer ential ▁calculus ▁Category : General izations ▁of ▁the ▁derivative ▁Category : Top ological ▁vector ▁spaces <0x0A> </s> ▁US NS ▁Pers istent ▁( T - AG OS - 6 ) ▁was ▁a ▁St al wart - class ▁Mod ified ▁T act ical ▁A ux ili ary ▁General ▁Ocean ▁Sur ve ill ance ▁Sh ip ▁of ▁the ▁United ▁States ▁Navy . ▁ ▁St al wart - class ▁ships ▁were ▁originally ▁designed ▁to ▁collect ▁under water ▁ac oust ical ▁data ▁in ▁support ▁of ▁Cold ▁War ▁anti - sub marine ▁war fare ▁operations ▁in ▁the ▁ 1 9 8 0 s . ▁ ▁Ex - US NS ▁Pers istent ▁is ▁now ▁T / S ▁State ▁of ▁Michigan , ▁owned ▁by ▁the ▁U . S . ▁Department ▁of ▁Transport ation ' s ▁Mar itime ▁Administration ▁and ▁assigned ▁to ▁the ▁Great ▁L akes ▁Mar itime ▁Academy , ▁Tra verse ▁City , ▁Michigan .