Let X be an infinite set, then any topology on X is also infinite.Select one:O TrueO FalseThe Left ray topology on R is incomparable with the standard topology on RSelect one:TrueFalse If T, and T, are two topologies on a nonempty set X, If for every x in X, every open set in T,containing x is open in T, then T, is smaller than T,.Select one:O TrueO FalseLet X be a topological space and A a subset of X, if a is a cluster point of A, then X is either aninterior point or an isolated point of ASelect one:O TrueO False

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Let X be an infinite set, then any topology on X is also infinite. Select one: O True O False

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let X be an infinite set, then any topology on X is also infinite.
Select one:
O True
O False
The Left ray topology on R is incomparable with the standard topology on R
Select one:
True
False

If T, and T, are two topologies on a nonempty set X, If for every x in X, every open set in T,
containing x is open in T, then T, is smaller than T,.
Select one:
O True
O False
Let X be a topological space and A a subset of X, if a is a cluster point of A, then X is either an
interior point or an isolated point of A
Select one:
O True
O False

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