Main Question or Discussion Point
how does a lower limit topology strictly finer than a standard topology? please explain lemma 13.4 of munkres' topolgy..
Can you write a basis element of the standard topology as a union of basis elements in the lower limit topology? Hint: yes.
thank u for ur help.. i got it clear that it was proved on the basis of lemma 13.3...thanks for ur hint.. i got the idea.. am now not able to prove it for k-topology... that is.. how is it possible that the basis element of standard topology is the basis element of k-toplogy??..
it is stated that.."given a basis element of (a,b) of T and a point x of (a,b),this same interval is a basis element for T'' "...
i'm not getting it clear.. can u help me in this??