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direct limit
noun
(algebra)
A
set
of
equivalence
classes
which
partition
the
disjoint
union
of
the
members
of
a
direct
system;
each
equivalence
class
being
a
sort
of
“drainage
basin”
of
the
mappings
(of
the
morphisms)
of
the
direct
system,
if
these
are
analogically
considered
as
“rivers”.
(If
i<k,j<k
in
the
indexing
poset,
then
there
exist
f_ik:A_i→A_k
and
f_jk:A_j→A_k.
If
a_i∈A_i,a_j∈A_j
such
that
f_ik(a_i)=f_jk(a_j)
then
a_i∼a_j.
If
k
=
j
then
f_jj(a_j)=a_j,f_ij(a_i)=a_j.)
limit case
noun
limit break
noun
limit order
noun
blowdown limit
noun
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