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

Elements Of Modern Algebra

8th Edition

ISBN:9781285463230

Author:Gilbert, Linda, Jimmie

Publisher:Gilbert, Linda, Jimmie

Chapter1: Fundamentals

Section1.7: Relations

Problem 30E: Suppose thatis an onto mapping from to. Prove that if ℒ, is a partition of, then ℒ, is a partition...

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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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