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Topology (from the Gr****
words τόπος, 'place, location', and λόγος, 'study') is the
branch of
mathematics concerned with the
properties of a geometric...
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Network topology is the
arrangement of the
elements (links, nodes, etc.) of a
communication network.
Network topology can be used to
define or describe...
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Algebraic topology is a
branch of
mathematics that uses
tools from
abstract algebra to
study topological spaces. The
basic goal is to find
algebraic invariants...
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elements are
called points,
along with an
additional structure called a
topology,
which can be
defined as a set of
neighbourhoods for each
point that satisfy...
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natural topology called the
product topology. This
topology differs from another,
perhaps more natural-seeming,
topology called the box
topology, which...
- mathematics, an
order topology is a
specific topology that can be
defined on any
totally ordered set. It is a
natural generalization of the
topology of the real...
-
general topology (or
point set
topology) is the
branch of
topology that
deals with the
basic set-theoretic
definitions and
constructions used in
topology. It...
- algebra, the
Zariski topology is a
topology defined on
geometric objects called varieties. It is very
different from
topologies that are
commonly used...
- In mathematics, weak
topology is an
alternative term for
certain initial topologies,
often on
topological vector spaces or
spaces of
linear operators,...
- In
topology and
related areas of mathematics, the set of all
possible topologies on a
given set
forms a
partially ordered set. This
order relation can...
