
samyoga samasya

nairoopya beejaganitamlo, icchina pradarsanatoe kuudina samuuham "g" kuu samyoga samasya anedi "g" looni samyoga muulakaalanu suuchistumdaa ledhaa anae rendu padaalu "x" mariyu "y" ichinatlayithe, nirnayinche nirnaya samasya. antey, samasya emitante, "g" loe "z" moolakam undaa anie nirnayinchadam.
samyoga samasyanu parivartana samasya anie kooda pilustaaru.
1911loe maaks dehn dwara samyoga samasyanu samuuha siddhaantamlo praathamika nirnaya samasyalalo okatigaa gurtinchaaru; migilina rendu padam samasya mariyu isomorphism samasya. samyoga samasya anae padam samasya anae padaanni oka pratyeka sandarbhamgaa kaligi untundih "x" mariyu "y" anevi padaalu ayithe, avi oke padam kaadaa anie nirnayinchadam anedi suutram _ 2 anedi gurtimpu kaadaa anie nirnayinchadaaniki samanam, idhi gurtimpuku samyogam undaa anie nirnayinchadaaniki samanam. 1912loe dehn 2 kante ekkuva ledhaa samaanamaina (genus 0 mariyu genus 1 kesulu chinnavi) yokka closed orientable dvi-dimensional manifolds yokka praathamika samuuhaalaku padam mariyu samyoga samasya rendintinee parishkarinche oka algorithamnu icchaaru.
aneka vargaala samuuhaalaku samyoga samasya nirnayinchalenidi anie telusu.
idhi karigedigaa telisina samuuha pradarsanala taragatulu

