Dear Colleagues, A metric space is said to be locally compact if every point of has a compact neighborhood. Show that a compact metric space is locally compact. Regards, Raed.
Follow Math Help Forum on Facebook and Google+
Originally Posted by raed Dear Colleagues, A metric space is said to be locally compact if every point of has a compact neighborhood. Show that a compact metric space is locally compact. Regards, Raed. X is a neighborhood of each and every point in it, so... Tonio
For every , is a compact neighbourhood of . Edited: Sorry, I didn't see the previous answer.
Thank you very much.
View Tag Cloud