Math Chapter Wise question with answer

Q01 Let (X,J) be a topological space, where X={1,2,3} and { } φ J =,{1},{2},{1,2},X A function X → f: X defined by f(1)... English · UPPSC Polytechnic Lecturer 2021 (I) Q02 Let (X, d) be a metric space and let A ⊂ X. For x ∈ X, defined d(x, A) = inf{d(x, a):a ∈A} If d(x, A) = 0 for all x... English · Bihar (TRE 1.0) -2023 Q03 Let (X,J) be a topological space, where X={1,2,3,4,5} and J= { } φ,X,{2},{3,4},{2,3,4},{1,2,3,4}. If A= {1,3,4}, th... English · UPPSC Polytechnic Lecturer 2021 (I) Q04 Let (X,T) be a topological space, where X={a,b,c} and T= φ {,{a},{b,c},X} then (X,T) is English · UPPSC Polytechnic Lecturer 2021 (I) Q05 In a topological space (X, T), Where X = {a, b, c} and T = {φ, {a},{b, c}, X}. Which of the following is true? English · UPPSC GDC 2021 Q06 A subset Y of a topological space (X, τ τ τ) is no where dense if - English · UP Higher Asst. Prof. 2021