
krambaddh topological vector sthaan

ganit mein, vishesh roop seey karyatmak vishleshan aur crum siddhant mein, ack krambaddh topological vector space, jise ack krambaddh tvs bhee kahaa jaataa haye, ack topological vector space (tvs) "x" haye jiska aanshik crum ≤ haye joe ise ack krambaddh vector space mein banaata haye jiska sakaratmak shanku sootra _ 1 "x" kaa ack bund subset haye. 
varnakramiya siddhant mein krambaddh tv key mahatvapurna anuprayog hain.
samanya shanku.
yadi "c" ack tvs "x" mein ack shanku haye tou "c" samanya haye yadi sootra _ 2, jahaan sootra _ 3 mool parr pados filter haye, sootra _ 4, aur sootra _ 5 "x" key subset "u" kaa "c"-santript patwar haye.
yadi "see" ack tv "aiks" (vaastavik yaa jatil sankhyaon parr) mein ack shanku haye, tou nimnalikhit samatulya hainh 
aur yadi "x" vaastavik parr ack sadish sthaan haye tou yeh bheeh
yadi "x" parr topology sthaaniya roop seey uttal haye tou ack samanya shanku kaa bund honah ack samanya shanku haye.
sampattiyan.
yadi "x" mein "c" ack samanya shanku haye aur "b" "x" kaa ack baadhya upasamuchchay haye tou sootra _ 16 baadhya haye; vishesh roop seey, pratyek antaral sootra _ 17 baadhya haye. 
yadi "x" hasdorf haye tou "x" mein pratyek samanya shanku ack uchit shanku haye.

