Course Code mth301 Question A set is open if it contains all its ________ points. Answer interior Question A set is closed if it contains all its ____________ points. Answer limit Question Let X and Y be two topological spaces. The continuous bijection whose inverse is also continuous is called a _______________From X to Y Answer homeomorphism Question Let X and Y be two topological spaces. A \(f: X\rightarrow Y\) is said to be __________ if and only for every closed subset U of Y, the pre-image is open \(f^{-1} U\) is closed in X. Answer continuous Question Let X and Y be two topological spaces. A \(f: X\rightarrow Y\) is said to be _______________if for every open set U of Y, the pre-image is open \(f^{-1} U\) is open in X. Answer continuous Question A topological space \((X, \tau)\) is called ____________ If for every \(x, y\in X\) with \(x\eq y\) , there exists a disjoint open subsets U, W of X such that \(x\in U\)and \(y\in W\). Answer Hausdorff Question A topological space \((X,\tau)\) is _________ if \(\tau\) is induced on some metric on X Answer metrizable Question A topology \(\tau \) contained another topology \(\tau \) is called a _________ topology Answer indiscrete topology Question A topology \(\tau \) containing another topology \(\tau \) is called a _____________ topology Answer finer topology Question The topology in which only \(\phi \) and X are open is called _________________ Answer indiscrete topology Try Another Search