▁his ▁th esis , ▁Far rell ▁solved ▁the ▁problem ▁of ▁determ ining ▁when ▁a ▁manifold ▁( of ▁dimension ▁greater ▁than ▁ 5 ) ▁can ▁fi ber ▁over ▁a ▁circle . ▁ ▁In ▁ 1 9 7 7 , ▁he ▁introduced ▁T ate – F ar rell ▁coh om ology , ▁which ▁is ▁a ▁general ization ▁to ▁infinite ▁groups ▁of ▁the ▁T ate ▁coh om ology ▁theory ▁for ▁finite ▁groups . ▁ ▁In ▁ 1 9 9 3 , ▁he ▁and ▁his ▁co - author ▁Low ell ▁Ed win ▁Jones ▁introduced ▁the ▁Far rell – J ones ▁conject ure ▁and ▁made ▁contributions ▁on ▁it . ▁The ▁conject ure ▁plays ▁an ▁important ▁role ▁in ▁manifold ▁topology . ▁ ▁References ▁ ▁Category : 1 9 4 1 ▁birth s ▁Category : L iving ▁people ▁Category : Top olog ists ▁Category : 2 0 th - century ▁American ▁mathemat icians ▁Category : 2 1 st - century ▁American ▁mathemat icians ▁Category : Math emat icians ▁from ▁Ohio ▁Category : Univers ity ▁of ▁Notre ▁D ame ▁al umn i ▁Category : Y ale ▁University ▁al umn i ▁Category : Univers ity ▁of ▁Michigan ▁fac ulty ▁Category : P en nsylvan ia ▁State ▁University ▁fac ulty ▁Category : Col umb ia ▁University ▁fac ulty ▁Category : B ingham ton ▁University ▁fac ulty ▁Category : T sing h ua ▁University ▁fac ulty <0x0A> </s> ▁Pseud ocal am ob ius ▁ni is ato i ▁is ▁a ▁species ▁of ▁be et le ▁in ▁the ▁family ▁Cer amb yc idae . ▁It ▁was