
vietoris-beggle mapping sidhaantham

beejaganita topology ganithashaasthra mekhalayile falamaanu vietoris-beggle mapping sidhaantham. leopold vietoris, edward jii ennivayude perilaanu ithu ariyappedunnathu. viraykkuka. chuvadeyulla sidhaanthathinte prasthavana steefan smail roopappeduthiyathaanu.
sidhaantham.
formula _ 1 umm formula _ 2 umm compact metrik speysukalaayirikkatte, koodaathe formula _ 3 surjective, condinues ayirikkatte. formula _ 4-nte naarukal asyclic aanennu karuthuka, angane
formula _ 8-ll formula _ 9-aam reduced vietoris homology groupine soochippikkunnu. pinne, induced homomorphism
formula _ 11-nuu oru isomorphisavum formula _ 12-nuu oru sarjakshanumaanu.
prasthaavichathupole sidhaantham ekavachana homology polulla homology sidhaanthangalkku yojikkunnilla ennathu shradhikkuka. udaaharanathinu, clossed topologistinte saine karvinteyum oru segmentinteyum vaittoris homology grouppukal isomorphic aanu (kaaranam aadya projakttukal asyclic fiberukalulla randaamathethaanu). ennaal singular homology vyathyasthamaan, kaaranam segment paathayumayi bandhappettirikkunnu, topologistinte saine karvu allah.