Last Updated：2022/12/23
Sentence
Thus
if
𝔇
is
an
arbitrary
decomposition
of
a
space
X
into
mutually
disjoint
subsets,
then
the
corresponding
quotient
space
is
obtained
by
'shrinking'
or
'identifying'
each
member
of
𝔇
to
a
single
point.
For
this
reason,
the
quotient
spaces
are
sometimes
called
identification
spaces
and
quotient
maps
as
identification
maps.
Quizzes for review
Thus if 𝔇 is an arbitrary decomposition of a space X into mutually disjoint subsets, then the corresponding quotient space is obtained by 'shrinking' or 'identifying' each member of 𝔇 to a single point. For this reason, the quotient spaces are sometimes called identification spaces and quotient maps as identification maps.
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