- two
spaces are homeomorphic, they have
identical topological properties, and are
considered topologically the same. The cube and the
sphere are homeomorphic...
- space. A
topological space is a door
space if
every subset is open or
closed (or both).
Topological Homogeneity. A
space X is (
topologically) homogeneous...
- the
first experimentally discovered topologically ordered state; it has Z2
topological order.
Although topologically ordered states usually appear in strongly...
- In mathematics,
topological groups are the
combination of
groups and
topological spaces, i.e. they are
groups and
topological spaces at the same time...
- In cartography, geology, and robotics, a
topological map is a type of
diagram that has been
simplified so that only
vital information remains and unnecessary...
-
functions are said to be
topologically conjugate if
there exists a
homeomorphism that will
conjugate the one into the other.
Topological conjugacy, and related-but-distinct...
- In mathematics, a
topological space is,
roughly speaking, a
geometrical space in
which closeness is
defined but
cannot necessarily be
measured by a numeric...
- the
differential equations are then
topologically distinct, and are
classified by
their homotopy class.
Topological defects are not only
stable against...
-
underlying field, the
border of a
topological insulator with a
trivial insulator (including vacuum,
which is
topologically trivial) is
forced to
support a...
- state. So the
topological entanglement entropy links topological order with
pattern of long
range quantum entanglements.
Given a
topologically ordered state...
