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..

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- Mar 25th 2010, 10:44 PMmath.djOne point compactification
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.. - Mar 26th 2010, 10:13 PMDrexel28