-
different topologies. For instance, the real line, the
complex plane, and the
Cantor set can be
thought of as the same set with
different topologies. Formally...
- invariably, a
physical bus
topology. Two
basic categories of
network topologies exist,
physical topologies and
logical topologies. The
transmission medium...
- In mathematics, weak
topology is an
alternative term for
certain initial topologies,
often on
topological vector spaces or
spaces of
linear operators,...
- not
generally the
union of
those topologies (the
union of two
topologies need not be a
topology) but
rather the
topology generated by the union.
Every complete...
-
space topology are
relatively rarely used. To summarize, the
three essential topologies on B(H) are the norm, ultrastrong, and
ultraweak topologies. The...
-
different topologies. If a set is
given a
different topology, it is
viewed as a
different topological space. Any set can be
given the
discrete topology in which...
- The
following is a list of
named topologies or
topological spaces, many of
which are
counterexamples in
topology and
related branches of mathematics....
-
Grothendieck topologies. Conversely,
there are
Grothendieck topologies that do not come from
topological spaces. The term "Grothendieck
topology" has changed...
-
particular point topology on X with q
being the
distinguished point. Then (X,tp) and (X,tq) are
homeomorphic incomparable topologies on the same set....
-
allow crossover among topologies,
applying speciation (the
evolution of species) to
preserve innovations, and
developing topologies incrementally from simple...
