Last Updated：2025/12/30
Sentence
One
encounters
a
similar
situation
in
homology
theory.
Beside
singular
homology,
which
is
a
homotopy
invariant,
and
Čech
homology,
which
is
a
shape
invariant,
there
exists
strong
homology,
which
is
a
strong
shape
invariant.
In
the
special
case
of
metric
compacta,
this
homology
was
introduced
by
N.E.
Steenrod
in
1940
and
is
often
referred
to
as
the
Steenrod
homology.
Quizzes for review
One encounters a similar situation in homology theory. Beside singular homology, which is a homotopy invariant, and Čech homology, which is a shape invariant, there exists strong homology, which is a strong shape invariant. In the special case of metric compacta, this homology was introduced by N.E. Steenrod in 1940 and is often referred to as the Steenrod homology.
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