Last Updated：2022/12/24
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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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.
