presentations for bs students, Summaries of Topology

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aca aaa Let (X, T) be a topological space and let A < X, then the inter- section of all closed set which are superset of A is called the closure of A and is denoted by A. Example : Let X = {a, b, c, d, e} T = {, X, {a}, fa, b}, {a, c, d}, {a, b, e}, {a, b, c, d}} Then find closure of {c, e} Solution : The closed subset of X are , X, {b, c, d, e}, {c, d, e}, {b, e}, {c, d}, {e} then A= {c, e}={b, 6, d,e} 0 fc, d,e} aX = {c, d, e} 5