Multiple Choice Questions (MCQs)
The set of ________ of R (Real line) forms a topology called usual topology.
If X is finite and has n elements then power set of X has ________ elements.
Let \(X = \Bbb{R}\) with usual topology and \(A = (0, 3)\). The limit point of A is:
Let X = {a, b, c, d}. The following set is not a topology on X.
If X is a finite set then co-finite topology on X is ________.
Topology means the study of something with respect to its ________.
Let τ be a topology on X. The elements of τ are called:
The smallest topology one can define on some set is called:
For an open ball centered at x = (x1, x2, . . ., xn) belongs to Rn, which of the following is the correct representation?
The collection τ of subsets of X consisting of the empty set φ and all subsets of X whose complements are finite is called:
If \(X = R\) with usual Topology and consider \(B = \{1/n \text{ where n belongs to the set of Natural numbers}\}\), then the limit point of B is ________.
Let \(X = \{a, b, c, d\}\) and \(τ = \{φ, \{c\}, \{a, c\}, \{b, c, d\}, X\}\) be a topology on X. The closed set in X is:
Which of the following statement is not true?
In a topological space the intersection of any collection of closed sets is ________.
Let X = {a, b, c, d}. The following set represents a topology on X.
Let X = {a, b, c}. The following set is a topology on X.
Let X = {1, 2, 3}, then P(X) = ________
If one shape can be deformed in another shape then topologically they are considered to be ________.
Only one topology can be defined on a set.
Let \(X = \Bbb{R}\) with usual topology and consider \(B = \{1, {1\over2}, {1\over 3}, {1\over4}, . . .\}\). The limit point of B is:
The set of all open intervals of R is a topology on R, called
If in a topology τ on X, all subsets of X are called open and closed, then τ is called:
Let \(X = \{a, b, c, d\}\). The following set is a topology on X.
The largest topology defined on some set is the ________ topology.
Topology can be a useful tool in those problems where ________ study is more effective.
Let X = {a, b, c, d}. The following set is a topology on X.
\(\bigcap\limits_{n\epsilon N} (- {1 \over n}, {1 \over n} )= \) ________, where N stands for set of natural numbers
Which of the following statement is true?
Which of the following topology is called "Finite Complement Topology"?
Which of the following topology contains the complete power set of a set?
Which of the following are NOT topologically equal?
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