9367 Q62
Posted: Wed Dec 21, 2011 4:17 am
#62
Let R be the set of real numbers with the topology generated by the basis {[a,b): a <b, a,b in R} If X is the subset [0,1] of R, which of the following must be true
1.x is compact
2.x is hausdorff
3.x is connected
(A) I only
(B) II only
(C) III only
(D) I AND II
(E) II and III
Hi, can anyone give a quick crash course on what it means to be Hausdorff?
Also, isn't [0,1] close and bounded and therefore compact?
Also, isn't [0,1] connected?
Thanks for clearing my deep misunderstandings on topology! :S
Let R be the set of real numbers with the topology generated by the basis {[a,b): a <b, a,b in R} If X is the subset [0,1] of R, which of the following must be true
1.x is compact
2.x is hausdorff
3.x is connected
(A) I only
(B) II only
(C) III only
(D) I AND II
(E) II and III
Hi, can anyone give a quick crash course on what it means to be Hausdorff?
Also, isn't [0,1] close and bounded and therefore compact?
Also, isn't [0,1] connected?
Thanks for clearing my deep misunderstandings on topology! :S