
nadichina sthalam

ganita saastramlo, sthalavignaana sthalam "x" yokka runn space (ledhaa runn space) anedi oka sthalavignaana antariksha suutram _ 1, dheeni antarleena samiti "x" yokka anni khaalii kaani parimita upasamitula samitih oka metrik sthalam "x" kosam sthalavignaanam hasdorff dhooram dwara prerepinchabadutundi. eee bhavanaku jiv runn paeru pettaru.
nirvachanam.
saadhaaranamgaa, runn space yokka topology setla dwara utpatti cheyabadutundi
edainaa vidadeeyabadina open upasamitula suutram _ 3 kosam.
oka pathakam kosam runn space yokka analog untundih formula _ 1 dwara suchinchabade oka feeled "k" paie pakshika-projective skeem "x" yokka runn prestock, dheeni vastuvulu triguna suutram _ 5, dheenilo parimitamgaa utpatti cheyabadina "k"-algibra "r", oka khaalii kaani samiti "s" mariyu setla mapp formula _ 6, mariyu dheeni padanirmaana suutram _ 7 "k"-algibra homomorphism formula _ 8 mariyu oka surjective mapp formula _ 9 suutram _ 10 mariyu suutram _ 11 thoo prayaanistundi. sumaruga, suutram _ 1 yokka "r"-point anedi formula _ 10 dwara ivvabadina lebullatho "x" yokka khaalii kaani parimita parimita samiti. oka suutram _ 10 dwara ivvabadina "r"-hetubaddhamaina binduvulu. oka suutram yokka suutram _ 1 nii pattukondi.
aastulu.
bailinson mariyu drinfeld yokka siddhaantam anusandhaaninchabadina manifold yokka runn space balaheenamgaa kudinchadaginadani perkondi.
topological kairal homology.
f" anedi runn space formula _ 15 loe oka koshif ayithe, daani global vibhagala sthalaanni "f" loe gunakaalato "m" yokka topological kairal homology antaaru. a" anedi, sumaruga, "m" looni paayintla dwara paraamiteekarinchabadina parivartanaseela algibras yokka kutumbam ayithe, appudu "a" kii anubandhinchabadina kaaraka sheef untundi. eee nirmaanam dwara, "a" loe gunakaalato kuudina topological kairal homologyni kooda pondavacchu. nirmaanam anedi hatchshild homology yokka saadhaaraneekarana.

