Ris not connected if T is * the trivial (usual) topology the finite closed topology the indiscrete topology None of the choices Which one of the following statements is true? * A subspace of a discrete space is an indiscrete space

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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R is not connected if T is
the trivial (usual) topology
the finite closed topology
the indiscrete topology
O None of the choices
Which one of the following statements is
true?
A subspace of a discrete space is an
indiscrete space
A subspace of a discrete space is not
necessarily discrete
A subspace of an indiscrete space is
discrete
Every subspace of a discrete space is
discrete
Let X = {a, b, c, d} an.
= {Ø, X, {b}, {b,c},
%3D
{a,b,d}} be a topology on X. Let Y = {1, 2, 3, 4}
Transcribed Image Text:R is not connected if T is the trivial (usual) topology the finite closed topology the indiscrete topology O None of the choices Which one of the following statements is true? A subspace of a discrete space is an indiscrete space A subspace of a discrete space is not necessarily discrete A subspace of an indiscrete space is discrete Every subspace of a discrete space is discrete Let X = {a, b, c, d} an. = {Ø, X, {b}, {b,c}, %3D {a,b,d}} be a topology on X. Let Y = {1, 2, 3, 4}
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