All MCQs Tests - VU MTH634 - Topology

Question 1: The set of all open intervals of R is a topology on R, called

Question 2: Let X = {a, b, c}. The following set is a topology on X.

Question 3: If X is a finite set then co-finite topology on X is __________.

Question 4: Let X = {a, b, c, d}. The following set is a topology on X.

Question 5: The collection τ of subsets of X consisting of the empty set φ and all subsets of X whose complements are finite is called:

Question 6: Let X = {1, 2, 3}, then P(X) = __________

Question 7: If in a topology τ on X, all subsets of X are called open and closed, then τ is called:

Question 8: Which of the following statement is true?

Question 9: Let \(X = Bbb{R}\) with usual topology and consider \(B = {1, {1over2}, {1over 3}, {1over4}, . . .}\). The limit point of B is:

Question 10: If one shape can be deformed in another shape then topologically they are considered to be __________.