最終更新日：2022/12/24
A short chapter outlines a proof that the group of PL homeomorphisms of the n-dimensional cube (fixed on the boundary) is left-orderable; a property conjectured to be true for the group of homeomorphisms in dimension two. We present a new proof that local indicability of a group is equivalent to the existence of a Conradian
left-ordering.
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A
short
chapter
outlines
a
proof
that
the
group
of
PL
homeomorphisms
of
the
n-dimensional
cube
(fixed
on
the
boundary)
is
left-orderable;
a
property
conjectured
to
be
true
for
the
group
of
homeomorphisms
in
dimension
two.
We
present
a
new
proof
that
local
indicability
of
a
group
is
equivalent
to
the
existence
of
a
"Conradian"
left-ordering.
