• Mr. Amandeep

The Topological Space IR (Real Line) has the followings properties: a. It is connected but the removal of any one of its points leaves it disconnected. b. It is metrizable. c. Its topology can be generated by a linear ordering. The topological space that satisfy condition a, is called cut point space. Formally we define a cut point topological. Let X be a non-empty connected topological space. A point x in X is said to be a cut point of X if X/{x} is a disconnected subset of X. A non-empty connected topological space X is said to be a cut point space if every x in X is a cut point of X. A point x of a space X is called a cut point if there exists a separation of X-{x}.

Topological Space, Metrizable, Cut Points

"A Review of Cut Points in Topological Connected Space IR", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 1, page no.798-802, January-2019, Available :http://www.jetir.org/papers/JETIR1901C08.pdf

"A Review of Cut Points in Topological Connected Space IR", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 1, page no. pp798-802, January-2019, Available at : http://www.jetir.org/papers/JETIR1901C08.pdf