1) Show that one point compactification of N(set of natural numbers) is homeomorphic wit {1/n : n in N} union {0}.
2)Show that one point compactification of R(set of real numbers) is homeomoerphic with S1(unit circle)..
any help is appreciated..
1) Show that one point compactification of N(set of natural numbers) is homeomorphic wit {1/n : n in N} union {0}.
2)Show that one point compactification of R(set of real numbers) is homeomoerphic with S1(unit circle)..
any help is appreciated..