Theorem : Perfect Set (Perfect subset of R^k is uncountable) Popular Videos Xn is a Cauchy Sequence Xn converges to x iff Yn converges to x. February 18, 2021 Xn is a bounded sequence in R, limit inferior of Xn+Limit inferior of Yn <= Limit inferior of (Xn+Yn)<=limit Superior of (Xn+Yn)<=limit superior of Xn + Limit Superior of Yn March 2, 2021 Union of two closed sets is closed | Real analysis | metric space | Basic Topology February 2, 2021 Every T1 space is T0 Space | Theorem | separation axioms | Topology January 10, 2021 Description Perfect subset of R^k is uncountable | Theorem | Real Analysis | Metric Space | Point Set Topology Classes by Cheena Banga. Posted by Cheena Banga | Jan 5, 2021 | Important Topics, Perfect Set, Real Analysis | 0 |