vu mth634 Final Term - Quiz No.1
vu mth634 Topology Quiz
This quiz belongs to book/course code vu mth634 Topology of vu organization. We have 2 quizzes available related to the book/course Topology. This quiz has a total of 10 multiple choice questions (MCQs) to prepare and belongs to topic Final Term. NVAEducation wants its users to help them learn in an easy way. For that purpose, you are free to prepare online MCQs and quizzes.
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Question 1: The set of all open intervals of R is a topology on R, called
discrete topology
cofinite topology
real topology
usual topology
Question 2: Let X = {a, b, c}. The following set is a topology on X.
{φ, {b}, {c}, X}
{φ, {a}, {b}, X}
{φ, {a}, {b, c}, X}
None of the given
Question 3: If X is a finite set then co-finite topology on X is __________.
indiscrete topology
discrete topology
lower limit topology
None of the given
Question 4: Let X = {a, b, c, d}. The following set is a topology on X.
{φ, {a}, {b}, {c}, X}
{φ, {c, d}, {b, c, d}, X}
{φ, {a}, {b}, X}
None of the given
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:
discrete topology
cofinite topology
indiscrete topology
None of the given
Question 6: Let X = {1, 2, 3}, then P(X) = __________
{φ, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}}
{φ, {1}, {3}, {1, 2}, {1, 3}, {1, 2, 3}}
{φ, {1}, {2}, {3}, {1, 2}, {1, 3}, {2, 3}, X}
{φ, X}
Question 7: If in a topology τ on X, all subsets of X are called open and closed, then τ is called:
discrete space
indiscrete space
metric space
None of the given
Question 8: Which of the following statement is true?
In both Geometry and Topology we care about exact measurements.
In Geometry we don't care about measurements but in Topology we care about exact measurements.
In Geometry we care about measurements but in Topology we don't care about exact measurements.
In both Geometry and Topology we don't care about exact measurements.
