S= ulaodts he dleen te bltueeu i e ad dense w delas e batta a4 t.

definition for dense in itself

it is definition of dense .

see example , 1. Q and Qc are dense in R but Q intersection [0,1] is dense in itself but no dense in R

1.dense in itself means - if set A has no isolated points . 2.perfect set implies dense in itself 3. Q is dense because in neighborhood of any x belongs to Q there always exist an...

dense in itself means it may not be dense in R

dense set means dense in R

after reading all , if any doubt then ask