PAGE 248 QUESTIONS NUMBERS :

Q.6 AND Q.8

we can gives an examples from discrete or standard topology but how ???

the questions are :

Q.1: PROVE :

if :

$\displaystyle y\in\overline{S(x)}r$ then d(x,y) $\displaystyle \leq r $ and give an example to show that the converse is not always true .{ $\displaystyle \overline{S(p)}r$ is not necessary equal to $\displaystyle \mbox{A}= $ $\displaystyle {{ x \in X : d(x,y) \leq r }} $ }