Following the definition of Kleene's closure and positive closure , we have :
a) ϵ+ = { ϵ , ϵ .ϵ , ........... } = { ϵ }
b) ϵ* = { ϵ0 , ϵ , ϵ .ϵ , ......... } = { ϵ }
So we can conclude :
ϵ+ = ϵ*
In fact the statement :
r+ = r* - { ϵ } is true only if { ϵ } is not a part of r+ ..Else it is false as in the case above..