Question 1: A function between topological spaces is said to be continuous if the ________ of every open set is open.  

Question 2: Which of the following titles did Topological space have?



Question 3: A topological space is a set X together with τ, a collection of subsets of X, satisfying the following ________:  

Question 4: Such spaces are called ________.  

Question 5: The collection of all topologies on a given fixed set X forms a ________: if F = {τ_{α} : α in A} is a collection of topologies on X, then the meet of F is the intersection of F, and the join of F is the meet of the collection of all topologies on X which contain every member of F.  

Question 6: They appear in virtually every branch of modern ________ and are a central unifying notion.  

Question 7: This leads to concepts such as topological groups, topological vector spaces, topological rings and ________.  

Question 8: The ________ is defined algebraically on the spectrum of a ring or an algebraic variety.  

Question 9: ________ embody a metric, a precise notion of distance between points.  

Question 10: Topological spaces can be broadly classified, up to homeomorphism, by their ________.  

